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Finding the Fourth Proportional to 7,689.73, 11,530.49 and 3,982.76

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Solution

The fourth proportional to 7,689.73, 11,530.49 and 3,982.76 is: 5,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.73 : 11,530.49 = 3,982.76 : x
  2. Step 2: Convert to fraction form
    7,689.73/11,530.49 = 3,982.76/x
  3. Step 3: Cross multiply
    7,689.73x = 11,530.49 × 3,982.76
  4. Step 4: Simplify right side
    7,689.73x = 45,923,169.11
  5. Step 5: Solve for x
    x = 45,923,169.11/7,689.73
  6. Step 6: Final answer
    x = 5,972.02

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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.