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Finding the Fourth Proportional to 8,494.50, 12,737.63 and 3,562.82

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Solution

The fourth proportional to 8,494.50, 12,737.63 and 3,562.82 is: 5,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.50 : 12,737.63 = 3,562.82 : x
  2. Step 2: Convert to fraction form
    8,494.50/12,737.63 = 3,562.82/x
  3. Step 3: Cross multiply
    8,494.50x = 12,737.63 × 3,562.82
  4. Step 4: Simplify right side
    8,494.50x = 45,381,882.92
  5. Step 5: Solve for x
    x = 45,381,882.92/8,494.50
  6. Step 6: Final answer
    x = 5,342.50

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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.