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Finding the Fourth Proportional to 6,986.10, 10,479.24 and 1,791.84

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Solution

The fourth proportional to 6,986.10, 10,479.24 and 1,791.84 is: 2,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.10 : 10,479.24 = 1,791.84 : x
  2. Step 2: Convert to fraction form
    6,986.10/10,479.24 = 1,791.84/x
  3. Step 3: Cross multiply
    6,986.10x = 10,479.24 × 1,791.84
  4. Step 4: Simplify right side
    6,986.10x = 18,777,121.40
  5. Step 5: Solve for x
    x = 18,777,121.40/6,986.10
  6. Step 6: Final answer
    x = 2,687.78

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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.