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Finding the Fourth Proportional to 6,882.67, 10,321.91 and 2,202.49

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Solution

The fourth proportional to 6,882.67, 10,321.91 and 2,202.49 is: 3,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.67 : 10,321.91 = 2,202.49 : x
  2. Step 2: Convert to fraction form
    6,882.67/10,321.91 = 2,202.49/x
  3. Step 3: Cross multiply
    6,882.67x = 10,321.91 × 2,202.49
  4. Step 4: Simplify right side
    6,882.67x = 22,733,903.56
  5. Step 5: Solve for x
    x = 22,733,903.56/6,882.67
  6. Step 6: Final answer
    x = 3,303.06

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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.