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Finding the Fourth Proportional to 10,198.80, 15,301.44 and 5,578.56

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Solution

The fourth proportional to 10,198.80, 15,301.44 and 5,578.56 is: 8,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.80 : 15,301.44 = 5,578.56 : x
  2. Step 2: Convert to fraction form
    10,198.80/15,301.44 = 5,578.56/x
  3. Step 3: Cross multiply
    10,198.80x = 15,301.44 × 5,578.56
  4. Step 4: Simplify right side
    10,198.80x = 85,360,001.13
  5. Step 5: Solve for x
    x = 85,360,001.13/10,198.80
  6. Step 6: Final answer
    x = 8,369.61

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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.