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Finding the Fourth Proportional to 7,249.50, 10,874.25 and 3,145.50

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Solution

The fourth proportional to 7,249.50, 10,874.25 and 3,145.50 is: 4,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.50 : 10,874.25 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    7,249.50/10,874.25 = 3,145.50/x
  3. Step 3: Cross multiply
    7,249.50x = 10,874.25 × 3,145.50
  4. Step 4: Simplify right side
    7,249.50x = 34,204,953.38
  5. Step 5: Solve for x
    x = 34,204,953.38/7,249.50
  6. Step 6: Final answer
    x = 4,718.25

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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.