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Finding the Fourth Proportional to 10,105.54, 15,162.72 and 3,536.44

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Solution

The fourth proportional to 10,105.54, 15,162.72 and 3,536.44 is: 5,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.54 : 15,162.72 = 3,536.44 : x
  2. Step 2: Convert to fraction form
    10,105.54/15,162.72 = 3,536.44/x
  3. Step 3: Cross multiply
    10,105.54x = 15,162.72 × 3,536.44
  4. Step 4: Simplify right side
    10,105.54x = 53,622,049.52
  5. Step 5: Solve for x
    x = 53,622,049.52/10,105.54
  6. Step 6: Final answer
    x = 5,306.20

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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.