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Finding the Fourth Proportional to 7,792.38, 11,691.99 and 4,093.75

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Solution

The fourth proportional to 7,792.38, 11,691.99 and 4,093.75 is: 6,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.38 : 11,691.99 = 4,093.75 : x
  2. Step 2: Convert to fraction form
    7,792.38/11,691.99 = 4,093.75/x
  3. Step 3: Cross multiply
    7,792.38x = 11,691.99 × 4,093.75
  4. Step 4: Simplify right side
    7,792.38x = 47,864,084.06
  5. Step 5: Solve for x
    x = 47,864,084.06/7,792.38
  6. Step 6: Final answer
    x = 6,142.43

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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.