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Finding the Fourth Proportional to 7,682.20, 11,503.14 and 5,952.28

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Solution

The fourth proportional to 7,682.20, 11,503.14 and 5,952.28 is: 8,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.20 : 11,503.14 = 5,952.28 : x
  2. Step 2: Convert to fraction form
    7,682.20/11,503.14 = 5,952.28/x
  3. Step 3: Cross multiply
    7,682.20x = 11,503.14 × 5,952.28
  4. Step 4: Simplify right side
    7,682.20x = 68,469,910.16
  5. Step 5: Solve for x
    x = 68,469,910.16/7,682.20
  6. Step 6: Final answer
    x = 8,912.80

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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.