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Finding the Fourth Proportional to 7,744.17, 11,616.22 and 2,197.51

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Solution

The fourth proportional to 7,744.17, 11,616.22 and 2,197.51 is: 3,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.17 : 11,616.22 = 2,197.51 : x
  2. Step 2: Convert to fraction form
    7,744.17/11,616.22 = 2,197.51/x
  3. Step 3: Cross multiply
    7,744.17x = 11,616.22 × 2,197.51
  4. Step 4: Simplify right side
    7,744.17x = 25,526,759.61
  5. Step 5: Solve for x
    x = 25,526,759.61/7,744.17
  6. Step 6: Final answer
    x = 3,296.26

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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.