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Finding the Fourth Proportional to 11,717.87, 17,576.80 and 3,932.15

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Solution

The fourth proportional to 11,717.87, 17,576.80 and 3,932.15 is: 5,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.87 : 17,576.80 = 3,932.15 : x
  2. Step 2: Convert to fraction form
    11,717.87/17,576.80 = 3,932.15/x
  3. Step 3: Cross multiply
    11,717.87x = 17,576.80 × 3,932.15
  4. Step 4: Simplify right side
    11,717.87x = 69,114,516.41
  5. Step 5: Solve for x
    x = 69,114,516.41/11,717.87
  6. Step 6: Final answer
    x = 5,898.22

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Why These Related Problems?

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