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Finding the Fourth Proportional to 11,866.44, 17,798.94 and 3,546.48

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Solution

The fourth proportional to 11,866.44, 17,798.94 and 3,546.48 is: 5,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.44 : 17,798.94 = 3,546.48 : x
  2. Step 2: Convert to fraction form
    11,866.44/17,798.94 = 3,546.48/x
  3. Step 3: Cross multiply
    11,866.44x = 17,798.94 × 3,546.48
  4. Step 4: Simplify right side
    11,866.44x = 63,123,584.73
  5. Step 5: Solve for x
    x = 63,123,584.73/11,866.44
  6. Step 6: Final answer
    x = 5,319.50

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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.