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Finding the Fourth Proportional to 11,965.64, 17,947.07 and 3,201.24

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Solution

The fourth proportional to 11,965.64, 17,947.07 and 3,201.24 is: 4,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.64 : 17,947.07 = 3,201.24 : x
  2. Step 2: Convert to fraction form
    11,965.64/17,947.07 = 3,201.24/x
  3. Step 3: Cross multiply
    11,965.64x = 17,947.07 × 3,201.24
  4. Step 4: Simplify right side
    11,965.64x = 57,452,862.36
  5. Step 5: Solve for x
    x = 57,452,862.36/11,965.64
  6. Step 6: Final answer
    x = 4,801.49

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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.