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Finding the Fourth Proportional to 7,652.97, 11,481.27 and 2,387.73

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Solution

The fourth proportional to 7,652.97, 11,481.27 and 2,387.73 is: 3,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.97 : 11,481.27 = 2,387.73 : x
  2. Step 2: Convert to fraction form
    7,652.97/11,481.27 = 2,387.73/x
  3. Step 3: Cross multiply
    7,652.97x = 11,481.27 × 2,387.73
  4. Step 4: Simplify right side
    7,652.97x = 27,414,172.82
  5. Step 5: Solve for x
    x = 27,414,172.82/7,652.97
  6. Step 6: Final answer
    x = 3,582.16

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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.