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Finding the Fourth Proportional to 6,689.30, 10,034.91 and 2,530.85

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Solution

The fourth proportional to 6,689.30, 10,034.91 and 2,530.85 is: 3,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.30 : 10,034.91 = 2,530.85 : x
  2. Step 2: Convert to fraction form
    6,689.30/10,034.91 = 2,530.85/x
  3. Step 3: Cross multiply
    6,689.30x = 10,034.91 × 2,530.85
  4. Step 4: Simplify right side
    6,689.30x = 25,396,801.80
  5. Step 5: Solve for x
    x = 25,396,801.80/6,689.30
  6. Step 6: Final answer
    x = 3,796.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.