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Finding the Fourth Proportional to 10,512.89, 15,748.20 and 5,231.96

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Solution

The fourth proportional to 10,512.89, 15,748.20 and 5,231.96 is: 7,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.89 : 15,748.20 = 5,231.96 : x
  2. Step 2: Convert to fraction form
    10,512.89/15,748.20 = 5,231.96/x
  3. Step 3: Cross multiply
    10,512.89x = 15,748.20 × 5,231.96
  4. Step 4: Simplify right side
    10,512.89x = 82,393,873.73
  5. Step 5: Solve for x
    x = 82,393,873.73/10,512.89
  6. Step 6: Final answer
    x = 7,837.42

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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.