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Finding the Fourth Proportional to 8,711.80, 12,022.38 and 4,732.97

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Solution

The fourth proportional to 8,711.80, 12,022.38 and 4,732.97 is: 6,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.80 : 12,022.38 = 4,732.97 : x
  2. Step 2: Convert to fraction form
    8,711.80/12,022.38 = 4,732.97/x
  3. Step 3: Cross multiply
    8,711.80x = 12,022.38 × 4,732.97
  4. Step 4: Simplify right side
    8,711.80x = 56,901,503.76
  5. Step 5: Solve for x
    x = 56,901,503.76/8,711.80
  6. Step 6: Final answer
    x = 6,531.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.