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Finding the Fourth Proportional to 8,098.49, 12,151.25 and 2,837.27

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Solution

The fourth proportional to 8,098.49, 12,151.25 and 2,837.27 is: 4,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.49 : 12,151.25 = 2,837.27 : x
  2. Step 2: Convert to fraction form
    8,098.49/12,151.25 = 2,837.27/x
  3. Step 3: Cross multiply
    8,098.49x = 12,151.25 × 2,837.27
  4. Step 4: Simplify right side
    8,098.49x = 34,476,414.56
  5. Step 5: Solve for x
    x = 34,476,414.56/8,098.49
  6. Step 6: Final answer
    x = 4,257.14

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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.