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Finding the Fourth Proportional to 11,729.72, 17,596.20 and 3,940.76

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Solution

The fourth proportional to 11,729.72, 17,596.20 and 3,940.76 is: 5,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.72 : 17,596.20 = 3,940.76 : x
  2. Step 2: Convert to fraction form
    11,729.72/17,596.20 = 3,940.76/x
  3. Step 3: Cross multiply
    11,729.72x = 17,596.20 × 3,940.76
  4. Step 4: Simplify right side
    11,729.72x = 69,342,401.11
  5. Step 5: Solve for x
    x = 69,342,401.11/11,729.72
  6. Step 6: Final answer
    x = 5,911.68

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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.