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Finding the Fourth Proportional to 6,882.41, 10,317.44 and 2,496.80

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Solution

The fourth proportional to 6,882.41, 10,317.44 and 2,496.80 is: 3,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.41 : 10,317.44 = 2,496.80 : x
  2. Step 2: Convert to fraction form
    6,882.41/10,317.44 = 2,496.80/x
  3. Step 3: Cross multiply
    6,882.41x = 10,317.44 × 2,496.80
  4. Step 4: Simplify right side
    6,882.41x = 25,760,616.23
  5. Step 5: Solve for x
    x = 25,760,616.23/6,882.41
  6. Step 6: Final answer
    x = 3,742.96

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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.