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Finding the Fourth Proportional to 8,165.57, 11,265.82 and 4,761.80

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Solution

The fourth proportional to 8,165.57, 11,265.82 and 4,761.80 is: 6,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.57 : 11,265.82 = 4,761.80 : x
  2. Step 2: Convert to fraction form
    8,165.57/11,265.82 = 4,761.80/x
  3. Step 3: Cross multiply
    8,165.57x = 11,265.82 × 4,761.80
  4. Step 4: Simplify right side
    8,165.57x = 53,645,555.69
  5. Step 5: Solve for x
    x = 53,645,555.69/8,165.57
  6. Step 6: Final answer
    x = 6,569.73

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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.