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Finding the Fourth Proportional to 10,198.43, 14,073.74 and 5,722.18

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Solution

The fourth proportional to 10,198.43, 14,073.74 and 5,722.18 is: 7,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.43 : 14,073.74 = 5,722.18 : x
  2. Step 2: Convert to fraction form
    10,198.43/14,073.74 = 5,722.18/x
  3. Step 3: Cross multiply
    10,198.43x = 14,073.74 × 5,722.18
  4. Step 4: Simplify right side
    10,198.43x = 80,532,452.67
  5. Step 5: Solve for x
    x = 80,532,452.67/10,198.43
  6. Step 6: Final answer
    x = 7,896.56

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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.