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Finding the Fourth Proportional to 11,965.25, 17,950.77 and 3,757.25

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Solution

The fourth proportional to 11,965.25, 17,950.77 and 3,757.25 is: 5,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.25 : 17,950.77 = 3,757.25 : x
  2. Step 2: Convert to fraction form
    11,965.25/17,950.77 = 3,757.25/x
  3. Step 3: Cross multiply
    11,965.25x = 17,950.77 × 3,757.25
  4. Step 4: Simplify right side
    11,965.25x = 67,445,530.58
  5. Step 5: Solve for x
    x = 67,445,530.58/11,965.25
  6. Step 6: Final answer
    x = 5,636.78

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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.