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Finding the Fourth Proportional to 6,871.75, 10,310.52 and 3,364.85

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Solution

The fourth proportional to 6,871.75, 10,310.52 and 3,364.85 is: 5,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.75 : 10,310.52 = 3,364.85 : x
  2. Step 2: Convert to fraction form
    6,871.75/10,310.52 = 3,364.85/x
  3. Step 3: Cross multiply
    6,871.75x = 10,310.52 × 3,364.85
  4. Step 4: Simplify right side
    6,871.75x = 34,693,353.22
  5. Step 5: Solve for x
    x = 34,693,353.22/6,871.75
  6. Step 6: Final answer
    x = 5,048.69

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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.