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Finding the Fourth Proportional to 6,763.69, 10,142.70 and 2,082.52

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Solution

The fourth proportional to 6,763.69, 10,142.70 and 2,082.52 is: 3,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.69 : 10,142.70 = 2,082.52 : x
  2. Step 2: Convert to fraction form
    6,763.69/10,142.70 = 2,082.52/x
  3. Step 3: Cross multiply
    6,763.69x = 10,142.70 × 2,082.52
  4. Step 4: Simplify right side
    6,763.69x = 21,122,375.60
  5. Step 5: Solve for x
    x = 21,122,375.60/6,763.69
  6. Step 6: Final answer
    x = 3,122.91

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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.