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Finding the Fourth Proportional to 11,704.57, 17,556.78 and 3,913.31

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Solution

The fourth proportional to 11,704.57, 17,556.78 and 3,913.31 is: 5,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.57 : 17,556.78 = 3,913.31 : x
  2. Step 2: Convert to fraction form
    11,704.57/17,556.78 = 3,913.31/x
  3. Step 3: Cross multiply
    11,704.57x = 17,556.78 × 3,913.31
  4. Step 4: Simplify right side
    11,704.57x = 68,705,122.74
  5. Step 5: Solve for x
    x = 68,705,122.74/11,704.57
  6. Step 6: Final answer
    x = 5,869.94

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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.