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Finding the Fourth Proportional to 11,614.08, 16,043.76 and 10,564.32

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Solution

The fourth proportional to 11,614.08, 16,043.76 and 10,564.32 is: 14,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.08 : 16,043.76 = 10,564.32 : x
  2. Step 2: Convert to fraction form
    11,614.08/16,043.76 = 10,564.32/x
  3. Step 3: Cross multiply
    11,614.08x = 16,043.76 × 10,564.32
  4. Step 4: Simplify right side
    11,614.08x = 169,491,414.64
  5. Step 5: Solve for x
    x = 169,491,414.64/11,614.08
  6. Step 6: Final answer
    x = 14,593.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.