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Finding the Fourth Proportional to 7,751.97, 11,631.87 and 3,587.29

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Solution

The fourth proportional to 7,751.97, 11,631.87 and 3,587.29 is: 5,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.97 : 11,631.87 = 3,587.29 : x
  2. Step 2: Convert to fraction form
    7,751.97/11,631.87 = 3,587.29/x
  3. Step 3: Cross multiply
    7,751.97x = 11,631.87 × 3,587.29
  4. Step 4: Simplify right side
    7,751.97x = 41,726,861.85
  5. Step 5: Solve for x
    x = 41,726,861.85/7,751.97
  6. Step 6: Final answer
    x = 5,382.74

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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.