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Finding the Fourth Proportional to 10,878.71, 16,306.11 and 5,614.09

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Solution

The fourth proportional to 10,878.71, 16,306.11 and 5,614.09 is: 8,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.71 : 16,306.11 = 5,614.09 : x
  2. Step 2: Convert to fraction form
    10,878.71/16,306.11 = 5,614.09/x
  3. Step 3: Cross multiply
    10,878.71x = 16,306.11 × 5,614.09
  4. Step 4: Simplify right side
    10,878.71x = 91,543,928.32
  5. Step 5: Solve for x
    x = 91,543,928.32/10,878.71
  6. Step 6: Final answer
    x = 8,414.97

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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.