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Finding the Fourth Proportional to 8,474.50, 12,711.57 and 3,793.42

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Solution

The fourth proportional to 8,474.50, 12,711.57 and 3,793.42 is: 5,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.50 : 12,711.57 = 3,793.42 : x
  2. Step 2: Convert to fraction form
    8,474.50/12,711.57 = 3,793.42/x
  3. Step 3: Cross multiply
    8,474.50x = 12,711.57 × 3,793.42
  4. Step 4: Simplify right side
    8,474.50x = 48,220,323.87
  5. Step 5: Solve for x
    x = 48,220,323.87/8,474.50
  6. Step 6: Final answer
    x = 5,690.05

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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.