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Finding the Fourth Proportional to 10,650.72, 15,971.42 and 3,253.47

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Solution

The fourth proportional to 10,650.72, 15,971.42 and 3,253.47 is: 4,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.72 : 15,971.42 = 3,253.47 : x
  2. Step 2: Convert to fraction form
    10,650.72/15,971.42 = 3,253.47/x
  3. Step 3: Cross multiply
    10,650.72x = 15,971.42 × 3,253.47
  4. Step 4: Simplify right side
    10,650.72x = 51,962,519.56
  5. Step 5: Solve for x
    x = 51,962,519.56/10,650.72
  6. Step 6: Final answer
    x = 4,878.78

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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.