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Finding the Fourth Proportional to 11,023.92, 16,536.78 and 5,177.34

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Solution

The fourth proportional to 11,023.92, 16,536.78 and 5,177.34 is: 7,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.92 : 16,536.78 = 5,177.34 : x
  2. Step 2: Convert to fraction form
    11,023.92/16,536.78 = 5,177.34/x
  3. Step 3: Cross multiply
    11,023.92x = 16,536.78 × 5,177.34
  4. Step 4: Simplify right side
    11,023.92x = 85,616,532.57
  5. Step 5: Solve for x
    x = 85,616,532.57/11,023.92
  6. Step 6: Final answer
    x = 7,766.43

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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.