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Finding the Fourth Proportional to 11,563.78, 17,348.10 and 3,773.20

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Solution

The fourth proportional to 11,563.78, 17,348.10 and 3,773.20 is: 5,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.78 : 17,348.10 = 3,773.20 : x
  2. Step 2: Convert to fraction form
    11,563.78/17,348.10 = 3,773.20/x
  3. Step 3: Cross multiply
    11,563.78x = 17,348.10 × 3,773.20
  4. Step 4: Simplify right side
    11,563.78x = 65,457,850.92
  5. Step 5: Solve for x
    x = 65,457,850.92/11,563.78
  6. Step 6: Final answer
    x = 5,660.59

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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.