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Finding the Fourth Proportional to 6,760.88, 10,140.61 and 3,202.14

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Solution

The fourth proportional to 6,760.88, 10,140.61 and 3,202.14 is: 4,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.88 : 10,140.61 = 3,202.14 : x
  2. Step 2: Convert to fraction form
    6,760.88/10,140.61 = 3,202.14/x
  3. Step 3: Cross multiply
    6,760.88x = 10,140.61 × 3,202.14
  4. Step 4: Simplify right side
    6,760.88x = 32,471,652.91
  5. Step 5: Solve for x
    x = 32,471,652.91/6,760.88
  6. Step 6: Final answer
    x = 4,802.87

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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.