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Finding the Fourth Proportional to 10,213.69, 15,321.48 and 3,974.17

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Solution

The fourth proportional to 10,213.69, 15,321.48 and 3,974.17 is: 5,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.69 : 15,321.48 = 3,974.17 : x
  2. Step 2: Convert to fraction form
    10,213.69/15,321.48 = 3,974.17/x
  3. Step 3: Cross multiply
    10,213.69x = 15,321.48 × 3,974.17
  4. Step 4: Simplify right side
    10,213.69x = 60,890,166.17
  5. Step 5: Solve for x
    x = 60,890,166.17/10,213.69
  6. Step 6: Final answer
    x = 5,961.62

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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.