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Finding the Fourth Proportional to 10,451.82, 15,678.92 and 3,791.46

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Solution

The fourth proportional to 10,451.82, 15,678.92 and 3,791.46 is: 5,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.82 : 15,678.92 = 3,791.46 : x
  2. Step 2: Convert to fraction form
    10,451.82/15,678.92 = 3,791.46/x
  3. Step 3: Cross multiply
    10,451.82x = 15,678.92 × 3,791.46
  4. Step 4: Simplify right side
    10,451.82x = 59,445,998.02
  5. Step 5: Solve for x
    x = 59,445,998.02/10,451.82
  6. Step 6: Final answer
    x = 5,687.62

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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.