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Finding the Fourth Proportional to 8,099.26, 12,142.68 and 3,713.56

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Solution

The fourth proportional to 8,099.26, 12,142.68 and 3,713.56 is: 5,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.26 : 12,142.68 = 3,713.56 : x
  2. Step 2: Convert to fraction form
    8,099.26/12,142.68 = 3,713.56/x
  3. Step 3: Cross multiply
    8,099.26x = 12,142.68 × 3,713.56
  4. Step 4: Simplify right side
    8,099.26x = 45,092,570.74
  5. Step 5: Solve for x
    x = 45,092,570.74/8,099.26
  6. Step 6: Final answer
    x = 5,567.49

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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.