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Finding the Fourth Proportional to 10,728.62, 16,080.49 and 6,349.76

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Solution

The fourth proportional to 10,728.62, 16,080.49 and 6,349.76 is: 9,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.62 : 16,080.49 = 6,349.76 : x
  2. Step 2: Convert to fraction form
    10,728.62/16,080.49 = 6,349.76/x
  3. Step 3: Cross multiply
    10,728.62x = 16,080.49 × 6,349.76
  4. Step 4: Simplify right side
    10,728.62x = 102,107,252.18
  5. Step 5: Solve for x
    x = 102,107,252.18/10,728.62
  6. Step 6: Final answer
    x = 9,517.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.