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Finding the Fourth Proportional to 10,915.38, 15,062.61 and 6,937.14

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Solution

The fourth proportional to 10,915.38, 15,062.61 and 6,937.14 is: 9,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.38 : 15,062.61 = 6,937.14 : x
  2. Step 2: Convert to fraction form
    10,915.38/15,062.61 = 6,937.14/x
  3. Step 3: Cross multiply
    10,915.38x = 15,062.61 × 6,937.14
  4. Step 4: Simplify right side
    10,915.38x = 104,491,434.34
  5. Step 5: Solve for x
    x = 104,491,434.34/10,915.38
  6. Step 6: Final answer
    x = 9,572.86

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Why These Related Problems?

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