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Finding the Fourth Proportional to 7,265.50, 10,899 and 3,105.95

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Solution

The fourth proportional to 7,265.50, 10,899 and 3,105.95 is: 4,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.50 : 10,899 = 3,105.95 : x
  2. Step 2: Convert to fraction form
    7,265.50/10,899 = 3,105.95/x
  3. Step 3: Cross multiply
    7,265.50x = 10,899 × 3,105.95
  4. Step 4: Simplify right side
    7,265.50x = 33,851,694.56
  5. Step 5: Solve for x
    x = 33,851,694.56/7,265.50
  6. Step 6: Final answer
    x = 4,659.24

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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.