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Finding the Fourth Proportional to 11,468.58, 17,201.70 and 3,149.44

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Solution

The fourth proportional to 11,468.58, 17,201.70 and 3,149.44 is: 4,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.58 : 17,201.70 = 3,149.44 : x
  2. Step 2: Convert to fraction form
    11,468.58/17,201.70 = 3,149.44/x
  3. Step 3: Cross multiply
    11,468.58x = 17,201.70 × 3,149.44
  4. Step 4: Simplify right side
    11,468.58x = 54,175,722.05
  5. Step 5: Solve for x
    x = 54,175,722.05/11,468.58
  6. Step 6: Final answer
    x = 4,723.84

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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.