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Finding the Fourth Proportional to 11,731.50, 17,598.33 and 3,940.38

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Solution

The fourth proportional to 11,731.50, 17,598.33 and 3,940.38 is: 5,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.50 : 17,598.33 = 3,940.38 : x
  2. Step 2: Convert to fraction form
    11,731.50/17,598.33 = 3,940.38/x
  3. Step 3: Cross multiply
    11,731.50x = 17,598.33 × 3,940.38
  4. Step 4: Simplify right side
    11,731.50x = 69,344,107.57
  5. Step 5: Solve for x
    x = 69,344,107.57/11,731.50
  6. Step 6: Final answer
    x = 5,910.93

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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.