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Finding the Fourth Proportional to 10,665.22, 15,998.64 and 2,874.10

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Solution

The fourth proportional to 10,665.22, 15,998.64 and 2,874.10 is: 4,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.22 : 15,998.64 = 2,874.10 : x
  2. Step 2: Convert to fraction form
    10,665.22/15,998.64 = 2,874.10/x
  3. Step 3: Cross multiply
    10,665.22x = 15,998.64 × 2,874.10
  4. Step 4: Simplify right side
    10,665.22x = 45,981,691.22
  5. Step 5: Solve for x
    x = 45,981,691.22/10,665.22
  6. Step 6: Final answer
    x = 4,311.37

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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.