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Finding the Fourth Proportional to 11,866.64, 17,799.72 and 3,546.68

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Solution

The fourth proportional to 11,866.64, 17,799.72 and 3,546.68 is: 5,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.64 : 17,799.72 = 3,546.68 : x
  2. Step 2: Convert to fraction form
    11,866.64/17,799.72 = 3,546.68/x
  3. Step 3: Cross multiply
    11,866.64x = 17,799.72 × 3,546.68
  4. Step 4: Simplify right side
    11,866.64x = 63,129,910.93
  5. Step 5: Solve for x
    x = 63,129,910.93/11,866.64
  6. Step 6: Final answer
    x = 5,319.95

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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.