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Finding the Fourth Proportional to 8,505.43, 11,734.68 and 5,146.97

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Solution

The fourth proportional to 8,505.43, 11,734.68 and 5,146.97 is: 7,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.43 : 11,734.68 = 5,146.97 : x
  2. Step 2: Convert to fraction form
    8,505.43/11,734.68 = 5,146.97/x
  3. Step 3: Cross multiply
    8,505.43x = 11,734.68 × 5,146.97
  4. Step 4: Simplify right side
    8,505.43x = 60,398,006.55
  5. Step 5: Solve for x
    x = 60,398,006.55/8,505.43
  6. Step 6: Final answer
    x = 7,101.11

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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.