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Finding the Fourth Proportional to 8,136.82, 11,224.68 and 5,147.62

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Solution

The fourth proportional to 8,136.82, 11,224.68 and 5,147.62 is: 7,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.82 : 11,224.68 = 5,147.62 : x
  2. Step 2: Convert to fraction form
    8,136.82/11,224.68 = 5,147.62/x
  3. Step 3: Cross multiply
    8,136.82x = 11,224.68 × 5,147.62
  4. Step 4: Simplify right side
    8,136.82x = 57,780,387.26
  5. Step 5: Solve for x
    x = 57,780,387.26/8,136.82
  6. Step 6: Final answer
    x = 7,101.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.