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Finding the Fourth Proportional to 11,882, 17,823.96 and 3,674

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Solution

The fourth proportional to 11,882, 17,823.96 and 3,674 is: 5,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 17,823.96 = 3,674 : x
  2. Step 2: Convert to fraction form
    11,882/17,823.96 = 3,674/x
  3. Step 3: Cross multiply
    11,882x = 17,823.96 × 3,674
  4. Step 4: Simplify right side
    11,882x = 65,485,229.04
  5. Step 5: Solve for x
    x = 65,485,229.04/11,882
  6. Step 6: Final answer
    x = 5,511.30

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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.