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Finding the Fourth Proportional to 7,651.68, 11,469.61 and 3,211.92

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Solution

The fourth proportional to 7,651.68, 11,469.61 and 3,211.92 is: 4,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.68 : 11,469.61 = 3,211.92 : x
  2. Step 2: Convert to fraction form
    7,651.68/11,469.61 = 3,211.92/x
  3. Step 3: Cross multiply
    7,651.68x = 11,469.61 × 3,211.92
  4. Step 4: Simplify right side
    7,651.68x = 36,839,469.75
  5. Step 5: Solve for x
    x = 36,839,469.75/7,651.68
  6. Step 6: Final answer
    x = 4,814.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.