From the Fatal Attractions link:
A recurring theme throughout the series is the notion that when an exotic animal attack on a human results in a fatality to the human, it almost always results in an additional fatality. The animal involved in the attack, often simply exhibiting its hard-wired instincts or prey drive, usually has to be put down as well. Experts interviewed for the show explain that sometimes the killing of the animal is to prevent it from further attacks on humans; other times, the animal is euthanized in order to retrieve the body of the victim; still others are killed as routine legal procedure, applied to any animal that injures or kills a human, in order to perform a necropsyand test for diseases such as rabies. Thus, the human's attraction is just as likely, if not more so, to be fatal to the animal as well.
I noticed the Croc in Indonesia that ate the woman was not destroyed but re-located according to the article. Here in States I beleive that would be the exception and not the norm?