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Finding the Fourth Proportional to 10,512.31, 15,768 and 2,614.66

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Solution

The fourth proportional to 10,512.31, 15,768 and 2,614.66 is: 3,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.31 : 15,768 = 2,614.66 : x
  2. Step 2: Convert to fraction form
    10,512.31/15,768 = 2,614.66/x
  3. Step 3: Cross multiply
    10,512.31x = 15,768 × 2,614.66
  4. Step 4: Simplify right side
    10,512.31x = 41,227,958.88
  5. Step 5: Solve for x
    x = 41,227,958.88/10,512.31
  6. Step 6: Final answer
    x = 3,921.87

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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.