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Finding the Fourth Proportional to 8,292.39, 11,439.42 and 6,161.13

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Solution

The fourth proportional to 8,292.39, 11,439.42 and 6,161.13 is: 8,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.39 : 11,439.42 = 6,161.13 : x
  2. Step 2: Convert to fraction form
    8,292.39/11,439.42 = 6,161.13/x
  3. Step 3: Cross multiply
    8,292.39x = 11,439.42 × 6,161.13
  4. Step 4: Simplify right side
    8,292.39x = 70,479,753.74
  5. Step 5: Solve for x
    x = 70,479,753.74/8,292.39
  6. Step 6: Final answer
    x = 8,499.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.