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Finding the Fourth Proportional to 10,987.92, 16,481.74 and 2,668

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Solution

The fourth proportional to 10,987.92, 16,481.74 and 2,668 is: 4,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.92 : 16,481.74 = 2,668 : x
  2. Step 2: Convert to fraction form
    10,987.92/16,481.74 = 2,668/x
  3. Step 3: Cross multiply
    10,987.92x = 16,481.74 × 2,668
  4. Step 4: Simplify right side
    10,987.92x = 43,973,282.32
  5. Step 5: Solve for x
    x = 43,973,282.32/10,987.92
  6. Step 6: Final answer
    x = 4,001.97

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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.