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Austria started brightly but it was Bale who opened the scoring for Wales after 20 minutes.
The Spurs winger chested down a lofted Joe Allen pass before slotting into the bottom corner from close range.
Bale turned provider after the break with a pinpoint cross for substitute Vokes to slam home his fifth international goal.
The visitors kept plugging away and earned a lifeline with 15 minutes left when Marc Janko turned in from close range.