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Finding the Fourth Proportional to 8,229.57, 11,358.29 and 4,645.62

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Solution

The fourth proportional to 8,229.57, 11,358.29 and 4,645.62 is: 6,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.57 : 11,358.29 = 4,645.62 : x
  2. Step 2: Convert to fraction form
    8,229.57/11,358.29 = 4,645.62/x
  3. Step 3: Cross multiply
    8,229.57x = 11,358.29 × 4,645.62
  4. Step 4: Simplify right side
    8,229.57x = 52,766,275.96
  5. Step 5: Solve for x
    x = 52,766,275.96/8,229.57
  6. Step 6: Final answer
    x = 6,411.79

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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.