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Finding the Fourth Proportional to 11,738.89, 17,608.20 and 2,854.27

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Solution

The fourth proportional to 11,738.89, 17,608.20 and 2,854.27 is: 4,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.89 : 17,608.20 = 2,854.27 : x
  2. Step 2: Convert to fraction form
    11,738.89/17,608.20 = 2,854.27/x
  3. Step 3: Cross multiply
    11,738.89x = 17,608.20 × 2,854.27
  4. Step 4: Simplify right side
    11,738.89x = 50,258,542.74
  5. Step 5: Solve for x
    x = 50,258,542.74/11,738.89
  6. Step 6: Final answer
    x = 4,281.37

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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.