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Finding the Fourth Proportional to 7,793.38, 11,672.64 and 3,627.15

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Solution

The fourth proportional to 7,793.38, 11,672.64 and 3,627.15 is: 5,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.38 : 11,672.64 = 3,627.15 : x
  2. Step 2: Convert to fraction form
    7,793.38/11,672.64 = 3,627.15/x
  3. Step 3: Cross multiply
    7,793.38x = 11,672.64 × 3,627.15
  4. Step 4: Simplify right side
    7,793.38x = 42,338,416.18
  5. Step 5: Solve for x
    x = 42,338,416.18/7,793.38
  6. Step 6: Final answer
    x = 5,432.61

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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.