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Finding the Fourth Proportional to 8,042.50, 11,098.65 and 4,505.71

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Solution

The fourth proportional to 8,042.50, 11,098.65 and 4,505.71 is: 6,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.50 : 11,098.65 = 4,505.71 : x
  2. Step 2: Convert to fraction form
    8,042.50/11,098.65 = 4,505.71/x
  3. Step 3: Cross multiply
    8,042.50x = 11,098.65 × 4,505.71
  4. Step 4: Simplify right side
    8,042.50x = 50,007,298.29
  5. Step 5: Solve for x
    x = 50,007,298.29/8,042.50
  6. Step 6: Final answer
    x = 6,217.88

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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.