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Finding the Fourth Proportional to 8,077.82, 12,121.43 and 3,397.49

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Solution

The fourth proportional to 8,077.82, 12,121.43 and 3,397.49 is: 5,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.82 : 12,121.43 = 3,397.49 : x
  2. Step 2: Convert to fraction form
    8,077.82/12,121.43 = 3,397.49/x
  3. Step 3: Cross multiply
    8,077.82x = 12,121.43 × 3,397.49
  4. Step 4: Simplify right side
    8,077.82x = 41,182,437.21
  5. Step 5: Solve for x
    x = 41,182,437.21/8,077.82
  6. Step 6: Final answer
    x = 5,098.21

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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.