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Finding the Fourth Proportional to 8,072.62, 12,103.97 and 3,136.49

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Solution

The fourth proportional to 8,072.62, 12,103.97 and 3,136.49 is: 4,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.62 : 12,103.97 = 3,136.49 : x
  2. Step 2: Convert to fraction form
    8,072.62/12,103.97 = 3,136.49/x
  3. Step 3: Cross multiply
    8,072.62x = 12,103.97 × 3,136.49
  4. Step 4: Simplify right side
    8,072.62x = 37,964,007.20
  5. Step 5: Solve for x
    x = 37,964,007.20/8,072.62
  6. Step 6: Final answer
    x = 4,702.81

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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.