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Finding the Fourth Proportional to 7,816.38, 10,791.62 and 6,975.62

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Solution

The fourth proportional to 7,816.38, 10,791.62 and 6,975.62 is: 9,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.38 : 10,791.62 = 6,975.62 : x
  2. Step 2: Convert to fraction form
    7,816.38/10,791.62 = 6,975.62/x
  3. Step 3: Cross multiply
    7,816.38x = 10,791.62 × 6,975.62
  4. Step 4: Simplify right side
    7,816.38x = 75,278,240.30
  5. Step 5: Solve for x
    x = 75,278,240.30/7,816.38
  6. Step 6: Final answer
    x = 9,630.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.