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Finding the Fourth Proportional to 8,463.87, 12,687.51 and 3,534.92

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Solution

The fourth proportional to 8,463.87, 12,687.51 and 3,534.92 is: 5,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.87 : 12,687.51 = 3,534.92 : x
  2. Step 2: Convert to fraction form
    8,463.87/12,687.51 = 3,534.92/x
  3. Step 3: Cross multiply
    8,463.87x = 12,687.51 × 3,534.92
  4. Step 4: Simplify right side
    8,463.87x = 44,849,330.25
  5. Step 5: Solve for x
    x = 44,849,330.25/8,463.87
  6. Step 6: Final answer
    x = 5,298.92

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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.