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Finding the Fourth Proportional to 8,227.44, 11,353.68 and 4,691.16

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Solution

The fourth proportional to 8,227.44, 11,353.68 and 4,691.16 is: 6,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.44 : 11,353.68 = 4,691.16 : x
  2. Step 2: Convert to fraction form
    8,227.44/11,353.68 = 4,691.16/x
  3. Step 3: Cross multiply
    8,227.44x = 11,353.68 × 4,691.16
  4. Step 4: Simplify right side
    8,227.44x = 53,261,929.47
  5. Step 5: Solve for x
    x = 53,261,929.47/8,227.44
  6. Step 6: Final answer
    x = 6,473.69

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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.