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Finding the Fourth Proportional to 8,105.92, 12,160.91 and 2,262.53

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Solution

The fourth proportional to 8,105.92, 12,160.91 and 2,262.53 is: 3,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.92 : 12,160.91 = 2,262.53 : x
  2. Step 2: Convert to fraction form
    8,105.92/12,160.91 = 2,262.53/x
  3. Step 3: Cross multiply
    8,105.92x = 12,160.91 × 2,262.53
  4. Step 4: Simplify right side
    8,105.92x = 27,514,459.76
  5. Step 5: Solve for x
    x = 27,514,459.76/8,105.92
  6. Step 6: Final answer
    x = 3,394.37

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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.