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Finding the Fourth Proportional to 8,524.86, 12,787.27 and 3,839.39

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Solution

The fourth proportional to 8,524.86, 12,787.27 and 3,839.39 is: 5,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.86 : 12,787.27 = 3,839.39 : x
  2. Step 2: Convert to fraction form
    8,524.86/12,787.27 = 3,839.39/x
  3. Step 3: Cross multiply
    8,524.86x = 12,787.27 × 3,839.39
  4. Step 4: Simplify right side
    8,524.86x = 49,095,233.43
  5. Step 5: Solve for x
    x = 49,095,233.43/8,524.86
  6. Step 6: Final answer
    x = 5,759.07

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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.