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Finding the Fourth Proportional to 8,136.90, 12,202.92 and 4,239.18

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Solution

The fourth proportional to 8,136.90, 12,202.92 and 4,239.18 is: 6,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.90 : 12,202.92 = 4,239.18 : x
  2. Step 2: Convert to fraction form
    8,136.90/12,202.92 = 4,239.18/x
  3. Step 3: Cross multiply
    8,136.90x = 12,202.92 × 4,239.18
  4. Step 4: Simplify right side
    8,136.90x = 51,730,374.41
  5. Step 5: Solve for x
    x = 51,730,374.41/8,136.90
  6. Step 6: Final answer
    x = 6,357.50

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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.