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Finding the Fourth Proportional to 6,809.87, 10,209.61 and 3,520.86

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Solution

The fourth proportional to 6,809.87, 10,209.61 and 3,520.86 is: 5,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.87 : 10,209.61 = 3,520.86 : x
  2. Step 2: Convert to fraction form
    6,809.87/10,209.61 = 3,520.86/x
  3. Step 3: Cross multiply
    6,809.87x = 10,209.61 × 3,520.86
  4. Step 4: Simplify right side
    6,809.87x = 35,946,589.86
  5. Step 5: Solve for x
    x = 35,946,589.86/6,809.87
  6. Step 6: Final answer
    x = 5,278.61

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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.