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Finding the Fourth Proportional to 10,614.30, 15,921.72 and 5,931.69

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Solution

The fourth proportional to 10,614.30, 15,921.72 and 5,931.69 is: 8,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.30 : 15,921.72 = 5,931.69 : x
  2. Step 2: Convert to fraction form
    10,614.30/15,921.72 = 5,931.69/x
  3. Step 3: Cross multiply
    10,614.30x = 15,921.72 × 5,931.69
  4. Step 4: Simplify right side
    10,614.30x = 94,442,707.31
  5. Step 5: Solve for x
    x = 94,442,707.31/10,614.30
  6. Step 6: Final answer
    x = 8,897.69

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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.