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Finding the Fourth Proportional to 11,481.46, 15,842.48 and 6,766.68

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Solution

The fourth proportional to 11,481.46, 15,842.48 and 6,766.68 is: 9,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.46 : 15,842.48 = 6,766.68 : x
  2. Step 2: Convert to fraction form
    11,481.46/15,842.48 = 6,766.68/x
  3. Step 3: Cross multiply
    11,481.46x = 15,842.48 × 6,766.68
  4. Step 4: Simplify right side
    11,481.46x = 107,200,992.57
  5. Step 5: Solve for x
    x = 107,200,992.57/11,481.46
  6. Step 6: Final answer
    x = 9,336.88

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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.