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Finding the Fourth Proportional to 8,378.70, 12,550.42 and 3,991.74

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Solution

The fourth proportional to 8,378.70, 12,550.42 and 3,991.74 is: 5,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.70 : 12,550.42 = 3,991.74 : x
  2. Step 2: Convert to fraction form
    8,378.70/12,550.42 = 3,991.74/x
  3. Step 3: Cross multiply
    8,378.70x = 12,550.42 × 3,991.74
  4. Step 4: Simplify right side
    8,378.70x = 50,098,013.53
  5. Step 5: Solve for x
    x = 50,098,013.53/8,378.70
  6. Step 6: Final answer
    x = 5,979.21

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