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Finding the Fourth Proportional to 7,891.38, 10,866.42 and 7,179.12

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Solution

The fourth proportional to 7,891.38, 10,866.42 and 7,179.12 is: 9,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.38 : 10,866.42 = 7,179.12 : x
  2. Step 2: Convert to fraction form
    7,891.38/10,866.42 = 7,179.12/x
  3. Step 3: Cross multiply
    7,891.38x = 10,866.42 × 7,179.12
  4. Step 4: Simplify right side
    7,891.38x = 78,011,333.15
  5. Step 5: Solve for x
    x = 78,011,333.15/7,891.38
  6. Step 6: Final answer
    x = 9,885.64

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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.