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Finding the Fourth Proportional to 11,751.50, 17,625.36 and 3,429.56

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Solution

The fourth proportional to 11,751.50, 17,625.36 and 3,429.56 is: 5,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.50 : 17,625.36 = 3,429.56 : x
  2. Step 2: Convert to fraction form
    11,751.50/17,625.36 = 3,429.56/x
  3. Step 3: Cross multiply
    11,751.50x = 17,625.36 × 3,429.56
  4. Step 4: Simplify right side
    11,751.50x = 60,447,229.64
  5. Step 5: Solve for x
    x = 60,447,229.64/11,751.50
  6. Step 6: Final answer
    x = 5,143.79

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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.