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Finding the Fourth Proportional to 10,665.90, 15,997.74 and 2,874.24

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Solution

The fourth proportional to 10,665.90, 15,997.74 and 2,874.24 is: 4,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.90 : 15,997.74 = 2,874.24 : x
  2. Step 2: Convert to fraction form
    10,665.90/15,997.74 = 2,874.24/x
  3. Step 3: Cross multiply
    10,665.90x = 15,997.74 × 2,874.24
  4. Step 4: Simplify right side
    10,665.90x = 45,981,344.22
  5. Step 5: Solve for x
    x = 45,981,344.22/10,665.90
  6. Step 6: Final answer
    x = 4,311.06

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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.