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Finding the Fourth Proportional to 10,201.34, 15,310.22 and 5,272.43

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Solution

The fourth proportional to 10,201.34, 15,310.22 and 5,272.43 is: 7,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.34 : 15,310.22 = 5,272.43 : x
  2. Step 2: Convert to fraction form
    10,201.34/15,310.22 = 5,272.43/x
  3. Step 3: Cross multiply
    10,201.34x = 15,310.22 × 5,272.43
  4. Step 4: Simplify right side
    10,201.34x = 80,721,960.32
  5. Step 5: Solve for x
    x = 80,721,960.32/10,201.34
  6. Step 6: Final answer
    x = 7,912.88

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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.