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Finding the Fourth Proportional to 8,136.71, 12,207.81 and 3,456.53

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Solution

The fourth proportional to 8,136.71, 12,207.81 and 3,456.53 is: 5,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.71 : 12,207.81 = 3,456.53 : x
  2. Step 2: Convert to fraction form
    8,136.71/12,207.81 = 3,456.53/x
  3. Step 3: Cross multiply
    8,136.71x = 12,207.81 × 3,456.53
  4. Step 4: Simplify right side
    8,136.71x = 42,196,600.46
  5. Step 5: Solve for x
    x = 42,196,600.46/8,136.71
  6. Step 6: Final answer
    x = 5,185.96

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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.