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Finding the Fourth Proportional to 8,077.82, 12,121.42 and 3,397.48

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Solution

The fourth proportional to 8,077.82, 12,121.42 and 3,397.48 is: 5,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.82 : 12,121.42 = 3,397.48 : x
  2. Step 2: Convert to fraction form
    8,077.82/12,121.42 = 3,397.48/x
  3. Step 3: Cross multiply
    8,077.82x = 12,121.42 × 3,397.48
  4. Step 4: Simplify right side
    8,077.82x = 41,182,282.02
  5. Step 5: Solve for x
    x = 41,182,282.02/8,077.82
  6. Step 6: Final answer
    x = 5,098.19

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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.