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Finding the Fourth Proportional to 7,144.29, 10,716.44 and 3,249.81

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Solution

The fourth proportional to 7,144.29, 10,716.44 and 3,249.81 is: 4,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.29 : 10,716.44 = 3,249.81 : x
  2. Step 2: Convert to fraction form
    7,144.29/10,716.44 = 3,249.81/x
  3. Step 3: Cross multiply
    7,144.29x = 10,716.44 × 3,249.81
  4. Step 4: Simplify right side
    7,144.29x = 34,826,377.63
  5. Step 5: Solve for x
    x = 34,826,377.63/7,144.29
  6. Step 6: Final answer
    x = 4,874.72

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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.