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Finding the Fourth Proportional to 8,098.36, 12,148.34 and 2,254.97

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Solution

The fourth proportional to 8,098.36, 12,148.34 and 2,254.97 is: 3,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.36 : 12,148.34 = 2,254.97 : x
  2. Step 2: Convert to fraction form
    8,098.36/12,148.34 = 2,254.97/x
  3. Step 3: Cross multiply
    8,098.36x = 12,148.34 × 2,254.97
  4. Step 4: Simplify right side
    8,098.36x = 27,394,142.25
  5. Step 5: Solve for x
    x = 27,394,142.25/8,098.36
  6. Step 6: Final answer
    x = 3,382.68

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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.