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Finding the Fourth Proportional to 8,381.39, 12,560.74 and 3,184.43

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Solution

The fourth proportional to 8,381.39, 12,560.74 and 3,184.43 is: 4,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.39 : 12,560.74 = 3,184.43 : x
  2. Step 2: Convert to fraction form
    8,381.39/12,560.74 = 3,184.43/x
  3. Step 3: Cross multiply
    8,381.39x = 12,560.74 × 3,184.43
  4. Step 4: Simplify right side
    8,381.39x = 39,998,797.28
  5. Step 5: Solve for x
    x = 39,998,797.28/8,381.39
  6. Step 6: Final answer
    x = 4,772.33

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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.