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Finding the Fourth Proportional to 8,254.56, 12,381.92 and 2,098.56

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Solution

The fourth proportional to 8,254.56, 12,381.92 and 2,098.56 is: 3,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.56 : 12,381.92 = 2,098.56 : x
  2. Step 2: Convert to fraction form
    8,254.56/12,381.92 = 2,098.56/x
  3. Step 3: Cross multiply
    8,254.56x = 12,381.92 × 2,098.56
  4. Step 4: Simplify right side
    8,254.56x = 25,984,202.04
  5. Step 5: Solve for x
    x = 25,984,202.04/8,254.56
  6. Step 6: Final answer
    x = 3,147.86

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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.