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Finding the Fourth Proportional to 10,040.38, 15,045.31 and 7,951.66

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Solution

The fourth proportional to 10,040.38, 15,045.31 and 7,951.66 is: 11,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.38 : 15,045.31 = 7,951.66 : x
  2. Step 2: Convert to fraction form
    10,040.38/15,045.31 = 7,951.66/x
  3. Step 3: Cross multiply
    10,040.38x = 15,045.31 × 7,951.66
  4. Step 4: Simplify right side
    10,040.38x = 119,635,162.04
  5. Step 5: Solve for x
    x = 119,635,162.04/10,040.38
  6. Step 6: Final answer
    x = 11,915.40

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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.