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Finding the Fourth Proportional to 7,744.43, 11,617.08 and 2,197.33

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Solution

The fourth proportional to 7,744.43, 11,617.08 and 2,197.33 is: 3,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.43 : 11,617.08 = 2,197.33 : x
  2. Step 2: Convert to fraction form
    7,744.43/11,617.08 = 2,197.33/x
  3. Step 3: Cross multiply
    7,744.43x = 11,617.08 × 2,197.33
  4. Step 4: Simplify right side
    7,744.43x = 25,526,572.92
  5. Step 5: Solve for x
    x = 25,526,572.92/7,744.43
  6. Step 6: Final answer
    x = 3,296.12

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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.