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Finding the Fourth Proportional to 10,508.88, 15,761.49 and 3,844

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Solution

The fourth proportional to 10,508.88, 15,761.49 and 3,844 is: 5,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.88 : 15,761.49 = 3,844 : x
  2. Step 2: Convert to fraction form
    10,508.88/15,761.49 = 3,844/x
  3. Step 3: Cross multiply
    10,508.88x = 15,761.49 × 3,844
  4. Step 4: Simplify right side
    10,508.88x = 60,587,167.56
  5. Step 5: Solve for x
    x = 60,587,167.56/10,508.88
  6. Step 6: Final answer
    x = 5,765.33

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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.