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Finding the Fourth Proportional to 7,959.97, 11,940.20 and 3,800.42

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Solution

The fourth proportional to 7,959.97, 11,940.20 and 3,800.42 is: 5,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.97 : 11,940.20 = 3,800.42 : x
  2. Step 2: Convert to fraction form
    7,959.97/11,940.20 = 3,800.42/x
  3. Step 3: Cross multiply
    7,959.97x = 11,940.20 × 3,800.42
  4. Step 4: Simplify right side
    7,959.97x = 45,377,774.88
  5. Step 5: Solve for x
    x = 45,377,774.88/7,959.97
  6. Step 6: Final answer
    x = 5,700.75

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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.