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Finding the Fourth Proportional to 7,227.90, 10,843.20 and 2,296.17

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Solution

The fourth proportional to 7,227.90, 10,843.20 and 2,296.17 is: 3,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.90 : 10,843.20 = 2,296.17 : x
  2. Step 2: Convert to fraction form
    7,227.90/10,843.20 = 2,296.17/x
  3. Step 3: Cross multiply
    7,227.90x = 10,843.20 × 2,296.17
  4. Step 4: Simplify right side
    7,227.90x = 24,897,830.54
  5. Step 5: Solve for x
    x = 24,897,830.54/7,227.90
  6. Step 6: Final answer
    x = 3,444.68

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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.