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Finding the Fourth Proportional to 10,414.40, 14,371.85 and 5,938.16

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Solution

The fourth proportional to 10,414.40, 14,371.85 and 5,938.16 is: 8,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.40 : 14,371.85 = 5,938.16 : x
  2. Step 2: Convert to fraction form
    10,414.40/14,371.85 = 5,938.16/x
  3. Step 3: Cross multiply
    10,414.40x = 14,371.85 × 5,938.16
  4. Step 4: Simplify right side
    10,414.40x = 85,342,287.78
  5. Step 5: Solve for x
    x = 85,342,287.78/10,414.40
  6. Step 6: Final answer
    x = 8,194.65

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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.