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Finding the Fourth Proportional to 8,286.92, 12,432.33 and 2,740.26

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Solution

The fourth proportional to 8,286.92, 12,432.33 and 2,740.26 is: 4,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.92 : 12,432.33 = 2,740.26 : x
  2. Step 2: Convert to fraction form
    8,286.92/12,432.33 = 2,740.26/x
  3. Step 3: Cross multiply
    8,286.92x = 12,432.33 × 2,740.26
  4. Step 4: Simplify right side
    8,286.92x = 34,067,816.61
  5. Step 5: Solve for x
    x = 34,067,816.61/8,286.92
  6. Step 6: Final answer
    x = 4,111.03

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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.