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Finding the Fourth Proportional to 7,311.80, 10,965.30 and 2,694.20

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Solution

The fourth proportional to 7,311.80, 10,965.30 and 2,694.20 is: 4,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.80 : 10,965.30 = 2,694.20 : x
  2. Step 2: Convert to fraction form
    7,311.80/10,965.30 = 2,694.20/x
  3. Step 3: Cross multiply
    7,311.80x = 10,965.30 × 2,694.20
  4. Step 4: Simplify right side
    7,311.80x = 29,542,711.26
  5. Step 5: Solve for x
    x = 29,542,711.26/7,311.80
  6. Step 6: Final answer
    x = 4,040.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.