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Finding the Fourth Proportional to 8,340.60, 11,514.84 and 6,227.76

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Solution

The fourth proportional to 8,340.60, 11,514.84 and 6,227.76 is: 8,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.60 : 11,514.84 = 6,227.76 : x
  2. Step 2: Convert to fraction form
    8,340.60/11,514.84 = 6,227.76/x
  3. Step 3: Cross multiply
    8,340.60x = 11,514.84 × 6,227.76
  4. Step 4: Simplify right side
    8,340.60x = 71,711,659.96
  5. Step 5: Solve for x
    x = 71,711,659.96/8,340.60
  6. Step 6: Final answer
    x = 8,597.90

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