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Finding the Fourth Proportional to 8,251.80, 12,381.78 and 3,872.40

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Solution

The fourth proportional to 8,251.80, 12,381.78 and 3,872.40 is: 5,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.80 : 12,381.78 = 3,872.40 : x
  2. Step 2: Convert to fraction form
    8,251.80/12,381.78 = 3,872.40/x
  3. Step 3: Cross multiply
    8,251.80x = 12,381.78 × 3,872.40
  4. Step 4: Simplify right side
    8,251.80x = 47,947,204.87
  5. Step 5: Solve for x
    x = 47,947,204.87/8,251.80
  6. Step 6: Final answer
    x = 5,810.51

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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.