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Finding the Fourth Proportional to 11,773.52, 17,659.74 and 3,453.20

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Solution

The fourth proportional to 11,773.52, 17,659.74 and 3,453.20 is: 5,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.52 : 17,659.74 = 3,453.20 : x
  2. Step 2: Convert to fraction form
    11,773.52/17,659.74 = 3,453.20/x
  3. Step 3: Cross multiply
    11,773.52x = 17,659.74 × 3,453.20
  4. Step 4: Simplify right side
    11,773.52x = 60,982,614.17
  5. Step 5: Solve for x
    x = 60,982,614.17/11,773.52
  6. Step 6: Final answer
    x = 5,179.64

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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.