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Finding the Fourth Proportional to 7,744.68, 11,616.84 and 2,272.68

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Solution

The fourth proportional to 7,744.68, 11,616.84 and 2,272.68 is: 3,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.68 : 11,616.84 = 2,272.68 : x
  2. Step 2: Convert to fraction form
    7,744.68/11,616.84 = 2,272.68/x
  3. Step 3: Cross multiply
    7,744.68x = 11,616.84 × 2,272.68
  4. Step 4: Simplify right side
    7,744.68x = 26,401,359.93
  5. Step 5: Solve for x
    x = 26,401,359.93/7,744.68
  6. Step 6: Final answer
    x = 3,408.97

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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.