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Finding the Fourth Proportional to 6,882.66, 10,320.21 and 3,182.85

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Solution

The fourth proportional to 6,882.66, 10,320.21 and 3,182.85 is: 4,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.66 : 10,320.21 = 3,182.85 : x
  2. Step 2: Convert to fraction form
    6,882.66/10,320.21 = 3,182.85/x
  3. Step 3: Cross multiply
    6,882.66x = 10,320.21 × 3,182.85
  4. Step 4: Simplify right side
    6,882.66x = 32,847,680.40
  5. Step 5: Solve for x
    x = 32,847,680.40/6,882.66
  6. Step 6: Final answer
    x = 4,772.53

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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.