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Finding the Fourth Proportional to 7,744.08, 11,616.12 and 2,197.46

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Solution

The fourth proportional to 7,744.08, 11,616.12 and 2,197.46 is: 3,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.08 : 11,616.12 = 2,197.46 : x
  2. Step 2: Convert to fraction form
    7,744.08/11,616.12 = 2,197.46/x
  3. Step 3: Cross multiply
    7,744.08x = 11,616.12 × 2,197.46
  4. Step 4: Simplify right side
    7,744.08x = 25,525,959.06
  5. Step 5: Solve for x
    x = 25,525,959.06/7,744.08
  6. Step 6: Final answer
    x = 3,296.19

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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.