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Finding the Fourth Proportional to 10,680.38, 16,006.64 and 7,728.77

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Solution

The fourth proportional to 10,680.38, 16,006.64 and 7,728.77 is: 11,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.38 : 16,006.64 = 7,728.77 : x
  2. Step 2: Convert to fraction form
    10,680.38/16,006.64 = 7,728.77/x
  3. Step 3: Cross multiply
    10,680.38x = 16,006.64 × 7,728.77
  4. Step 4: Simplify right side
    10,680.38x = 123,711,572.11
  5. Step 5: Solve for x
    x = 123,711,572.11/10,680.38
  6. Step 6: Final answer
    x = 11,583.07

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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.