Chords $AB$ and $CD$ of a circle intersect externally at point $P$. If $PA = 5\text{ cm}$, $AB = 7\text{ cm}$, and $PC = 4\text{ cm}$, find the length of $CD$.
Options:
- A: 11 cm
- B: 15 cm
- C: 10 cm
- D: 12 cm
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