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Finding the Fourth Proportional to 7,205.85, 10,809.67 and 2,462.80

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Solution

The fourth proportional to 7,205.85, 10,809.67 and 2,462.80 is: 3,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.85 : 10,809.67 = 2,462.80 : x
  2. Step 2: Convert to fraction form
    7,205.85/10,809.67 = 2,462.80/x
  3. Step 3: Cross multiply
    7,205.85x = 10,809.67 × 2,462.80
  4. Step 4: Simplify right side
    7,205.85x = 26,622,022.09
  5. Step 5: Solve for x
    x = 26,622,022.09/7,205.85
  6. Step 6: Final answer
    x = 3,694.50

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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.