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Finding the Fourth Proportional to 7,523.97, 11,286.71 and 2,592.96

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Solution

The fourth proportional to 7,523.97, 11,286.71 and 2,592.96 is: 3,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.97 : 11,286.71 = 2,592.96 : x
  2. Step 2: Convert to fraction form
    7,523.97/11,286.71 = 2,592.96/x
  3. Step 3: Cross multiply
    7,523.97x = 11,286.71 × 2,592.96
  4. Step 4: Simplify right side
    7,523.97x = 29,265,974.60
  5. Step 5: Solve for x
    x = 29,265,974.60/7,523.97
  6. Step 6: Final answer
    x = 3,889.70

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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.