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Finding the Fourth Proportional to 7,729.57, 11,595.05 and 2,182.97

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Solution

The fourth proportional to 7,729.57, 11,595.05 and 2,182.97 is: 3,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.57 : 11,595.05 = 2,182.97 : x
  2. Step 2: Convert to fraction form
    7,729.57/11,595.05 = 2,182.97/x
  3. Step 3: Cross multiply
    7,729.57x = 11,595.05 × 2,182.97
  4. Step 4: Simplify right side
    7,729.57x = 25,311,646.30
  5. Step 5: Solve for x
    x = 25,311,646.30/7,729.57
  6. Step 6: Final answer
    x = 3,274.65

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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.