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Finding the Fourth Proportional to 7,481.68, 11,221.44 and 2,286.16

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Solution

The fourth proportional to 7,481.68, 11,221.44 and 2,286.16 is: 3,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.68 : 11,221.44 = 2,286.16 : x
  2. Step 2: Convert to fraction form
    7,481.68/11,221.44 = 2,286.16/x
  3. Step 3: Cross multiply
    7,481.68x = 11,221.44 × 2,286.16
  4. Step 4: Simplify right side
    7,481.68x = 25,654,007.27
  5. Step 5: Solve for x
    x = 25,654,007.27/7,481.68
  6. Step 6: Final answer
    x = 3,428.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.