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Finding the Fourth Proportional to 7,744.78, 11,617.17 and 3,131.02

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Solution

The fourth proportional to 7,744.78, 11,617.17 and 3,131.02 is: 4,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.78 : 11,617.17 = 3,131.02 : x
  2. Step 2: Convert to fraction form
    7,744.78/11,617.17 = 3,131.02/x
  3. Step 3: Cross multiply
    7,744.78x = 11,617.17 × 3,131.02
  4. Step 4: Simplify right side
    7,744.78x = 36,373,591.61
  5. Step 5: Solve for x
    x = 36,373,591.61/7,744.78
  6. Step 6: Final answer
    x = 4,696.53

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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.