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Finding the Fourth Proportional to 8,136.66, 12,204.92 and 2,293.14

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Solution

The fourth proportional to 8,136.66, 12,204.92 and 2,293.14 is: 3,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.66 : 12,204.92 = 2,293.14 : x
  2. Step 2: Convert to fraction form
    8,136.66/12,204.92 = 2,293.14/x
  3. Step 3: Cross multiply
    8,136.66x = 12,204.92 × 2,293.14
  4. Step 4: Simplify right side
    8,136.66x = 27,987,590.25
  5. Step 5: Solve for x
    x = 27,987,590.25/8,136.66
  6. Step 6: Final answer
    x = 3,439.69

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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.