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Finding the Fourth Proportional to 8,213.20, 11,331 and 5,063.92

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Solution

The fourth proportional to 8,213.20, 11,331 and 5,063.92 is: 6,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.20 : 11,331 = 5,063.92 : x
  2. Step 2: Convert to fraction form
    8,213.20/11,331 = 5,063.92/x
  3. Step 3: Cross multiply
    8,213.20x = 11,331 × 5,063.92
  4. Step 4: Simplify right side
    8,213.20x = 57,379,277.52
  5. Step 5: Solve for x
    x = 57,379,277.52/8,213.20
  6. Step 6: Final answer
    x = 6,986.23

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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.