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Finding the Fourth Proportional to 8,136.32, 12,214.56 and 8,098.88

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Solution

The fourth proportional to 8,136.32, 12,214.56 and 8,098.88 is: 12,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.32 : 12,214.56 = 8,098.88 : x
  2. Step 2: Convert to fraction form
    8,136.32/12,214.56 = 8,098.88/x
  3. Step 3: Cross multiply
    8,136.32x = 12,214.56 × 8,098.88
  4. Step 4: Simplify right side
    8,136.32x = 98,924,255.69
  5. Step 5: Solve for x
    x = 98,924,255.69/8,136.32
  6. Step 6: Final answer
    x = 12,158.35

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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.