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Finding the Fourth Proportional to 7,251.92, 10,876.57 and 3,302.26

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Solution

The fourth proportional to 7,251.92, 10,876.57 and 3,302.26 is: 4,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.92 : 10,876.57 = 3,302.26 : x
  2. Step 2: Convert to fraction form
    7,251.92/10,876.57 = 3,302.26/x
  3. Step 3: Cross multiply
    7,251.92x = 10,876.57 × 3,302.26
  4. Step 4: Simplify right side
    7,251.92x = 35,917,262.05
  5. Step 5: Solve for x
    x = 35,917,262.05/7,251.92
  6. Step 6: Final answer
    x = 4,952.79

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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.