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Finding the Fourth Proportional to 8,463.80, 12,691.70 and 2,538.41

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Solution

The fourth proportional to 8,463.80, 12,691.70 and 2,538.41 is: 3,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.80 : 12,691.70 = 2,538.41 : x
  2. Step 2: Convert to fraction form
    8,463.80/12,691.70 = 2,538.41/x
  3. Step 3: Cross multiply
    8,463.80x = 12,691.70 × 2,538.41
  4. Step 4: Simplify right side
    8,463.80x = 32,216,671.57
  5. Step 5: Solve for x
    x = 32,216,671.57/8,463.80
  6. Step 6: Final answer
    x = 3,806.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.