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Finding the Fourth Proportional to 8,234.92, 11,362.53 and 4,697.47

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Solution

The fourth proportional to 8,234.92, 11,362.53 and 4,697.47 is: 6,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.92 : 11,362.53 = 4,697.47 : x
  2. Step 2: Convert to fraction form
    8,234.92/11,362.53 = 4,697.47/x
  3. Step 3: Cross multiply
    8,234.92x = 11,362.53 × 4,697.47
  4. Step 4: Simplify right side
    8,234.92x = 53,375,143.80
  5. Step 5: Solve for x
    x = 53,375,143.80/8,234.92
  6. Step 6: Final answer
    x = 6,481.56

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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.