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Finding the Fourth Proportional to 8,239.62, 11,357.38 and 6,443.92

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Solution

The fourth proportional to 8,239.62, 11,357.38 and 6,443.92 is: 8,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.62 : 11,357.38 = 6,443.92 : x
  2. Step 2: Convert to fraction form
    8,239.62/11,357.38 = 6,443.92/x
  3. Step 3: Cross multiply
    8,239.62x = 11,357.38 × 6,443.92
  4. Step 4: Simplify right side
    8,239.62x = 73,186,048.13
  5. Step 5: Solve for x
    x = 73,186,048.13/8,239.62
  6. Step 6: Final answer
    x = 8,882.21

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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.