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Finding the Fourth Proportional to 8,414.70, 11,618.46 and 5,432.28

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Solution

The fourth proportional to 8,414.70, 11,618.46 and 5,432.28 is: 7,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.70 : 11,618.46 = 5,432.28 : x
  2. Step 2: Convert to fraction form
    8,414.70/11,618.46 = 5,432.28/x
  3. Step 3: Cross multiply
    8,414.70x = 11,618.46 × 5,432.28
  4. Step 4: Simplify right side
    8,414.70x = 63,114,727.89
  5. Step 5: Solve for x
    x = 63,114,727.89/8,414.70
  6. Step 6: Final answer
    x = 7,500.53

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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.