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Finding the Fourth Proportional to 11,866.48, 17,797.68 and 3,968.44

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Solution

The fourth proportional to 11,866.48, 17,797.68 and 3,968.44 is: 5,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.48 : 17,797.68 = 3,968.44 : x
  2. Step 2: Convert to fraction form
    11,866.48/17,797.68 = 3,968.44/x
  3. Step 3: Cross multiply
    11,866.48x = 17,797.68 × 3,968.44
  4. Step 4: Simplify right side
    11,866.48x = 70,629,025.22
  5. Step 5: Solve for x
    x = 70,629,025.22/11,866.48
  6. Step 6: Final answer
    x = 5,951.98

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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.