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Finding the Fourth Proportional to 8,136.13, 12,203.11 and 2,293.20

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Solution

The fourth proportional to 8,136.13, 12,203.11 and 2,293.20 is: 3,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.13 : 12,203.11 = 2,293.20 : x
  2. Step 2: Convert to fraction form
    8,136.13/12,203.11 = 2,293.20/x
  3. Step 3: Cross multiply
    8,136.13x = 12,203.11 × 2,293.20
  4. Step 4: Simplify right side
    8,136.13x = 27,984,171.85
  5. Step 5: Solve for x
    x = 27,984,171.85/8,136.13
  6. Step 6: Final answer
    x = 3,439.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.