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Finding the Fourth Proportional to 8,136.78, 12,191.16 and 5,498.46

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Solution

The fourth proportional to 8,136.78, 12,191.16 and 5,498.46 is: 8,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.78 : 12,191.16 = 5,498.46 : x
  2. Step 2: Convert to fraction form
    8,136.78/12,191.16 = 5,498.46/x
  3. Step 3: Cross multiply
    8,136.78x = 12,191.16 × 5,498.46
  4. Step 4: Simplify right side
    8,136.78x = 67,032,605.61
  5. Step 5: Solve for x
    x = 67,032,605.61/8,136.78
  6. Step 6: Final answer
    x = 8,238.22

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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.