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Finding the Fourth Proportional to 6,882.71, 10,327.77 and 2,987.42

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Solution

The fourth proportional to 6,882.71, 10,327.77 and 2,987.42 is: 4,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.71 : 10,327.77 = 2,987.42 : x
  2. Step 2: Convert to fraction form
    6,882.71/10,327.77 = 2,987.42/x
  3. Step 3: Cross multiply
    6,882.71x = 10,327.77 × 2,987.42
  4. Step 4: Simplify right side
    6,882.71x = 30,853,335.01
  5. Step 5: Solve for x
    x = 30,853,335.01/6,882.71
  6. Step 6: Final answer
    x = 4,482.73

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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.