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Finding the Fourth Proportional to 11,348.96, 17,023.44 and 3,140.96

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Solution

The fourth proportional to 11,348.96, 17,023.44 and 3,140.96 is: 4,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.96 : 17,023.44 = 3,140.96 : x
  2. Step 2: Convert to fraction form
    11,348.96/17,023.44 = 3,140.96/x
  3. Step 3: Cross multiply
    11,348.96x = 17,023.44 × 3,140.96
  4. Step 4: Simplify right side
    11,348.96x = 53,469,944.10
  5. Step 5: Solve for x
    x = 53,469,944.10/11,348.96
  6. Step 6: Final answer
    x = 4,711.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.