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Finding the Fourth Proportional to 7,231.68, 10,847.52 and 3,767.04

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Solution

The fourth proportional to 7,231.68, 10,847.52 and 3,767.04 is: 5,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.68 : 10,847.52 = 3,767.04 : x
  2. Step 2: Convert to fraction form
    7,231.68/10,847.52 = 3,767.04/x
  3. Step 3: Cross multiply
    7,231.68x = 10,847.52 × 3,767.04
  4. Step 4: Simplify right side
    7,231.68x = 40,863,041.74
  5. Step 5: Solve for x
    x = 40,863,041.74/7,231.68
  6. Step 6: Final answer
    x = 5,650.56

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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.