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Finding the Fourth Proportional to 6,680.40, 10,022.34 and 2,000.52

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Solution

The fourth proportional to 6,680.40, 10,022.34 and 2,000.52 is: 3,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.40 : 10,022.34 = 2,000.52 : x
  2. Step 2: Convert to fraction form
    6,680.40/10,022.34 = 2,000.52/x
  3. Step 3: Cross multiply
    6,680.40x = 10,022.34 × 2,000.52
  4. Step 4: Simplify right side
    6,680.40x = 20,049,891.62
  5. Step 5: Solve for x
    x = 20,049,891.62/6,680.40
  6. Step 6: Final answer
    x = 3,001.30

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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.