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Finding the Fourth Proportional to 7,144.11, 10,716.16 and 3,249.63

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Solution

The fourth proportional to 7,144.11, 10,716.16 and 3,249.63 is: 4,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.11 : 10,716.16 = 3,249.63 : x
  2. Step 2: Convert to fraction form
    7,144.11/10,716.16 = 3,249.63/x
  3. Step 3: Cross multiply
    7,144.11x = 10,716.16 × 3,249.63
  4. Step 4: Simplify right side
    7,144.11x = 34,823,485.19
  5. Step 5: Solve for x
    x = 34,823,485.19/7,144.11
  6. Step 6: Final answer
    x = 4,874.44

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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.