The Collaborative International Dictionary of English v.0.48:

Practically \Prac"ti*cal*ly\, adv.
   1. In a practical way; not theoretically; really; as, to look
      at things practically; practically worthless.
      [1913 Webster]

   2. By means of practice or use; by experience or experiment;
      as, practically wise or skillful; practically acquainted
      with a subject.
      [1913 Webster]

   3. In practice or use; as, a medicine practically safe;
      theoretically wrong, but practically right.
      [1913 Webster]

   4. Almost.
      [PJC]

WordNet (r) 3.0 (2006):

practically
    adv 1: almost; nearly; "practically the first thing I saw when I
           got off the train"; "he was practically the only guest at
           the party"; "there was practically no garden at all"
    2: in a practical manner; "practically orientated institutions
       such as business schools"; "a brilliant man but so
       practically inept that he needed help to cross the road
       safely"
    3: (degree adverb used before a noun phrase) for all practical
       purposes but not completely; "much the same thing happened
       every time"; "practically everything in Hinduism is the
       manifestation of a god" [syn: much, practically]

Moby Thesaurus II by Grady Ward, 1.0:

66 Moby Thesaurus words for "practically":
   about, advantageously, advisably, all but, almost, appropriately,
   approximately, approximatively, as good as, as much as, at bottom,
   basically, clearly, congruously, conveniently, decently, desirably,
   effectively, effectually, efficiently, essentially, expediently,
   feasibly, fitly, fittingly, for practical purposes, functionally,
   fundamentally, generally, generally speaking, handily, in effect,
   in essence, in round numbers, just about, matter-of-factly,
   morally, more or less, most, much, nearabout, nigh, opportunely,
   profitably, properly, rationally, realistically, reasonably,
   rightly, roughly, roughly speaking, roundly, say, seasonably,
   sensibly, serviceably, simply, sortably, suitably, to advantage,
   to good effect, to good use, to profit, usefully, virtually,
   well-nigh