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Finding the Fourth Proportional to 11,737.17, 17,594.76 and 3,940.50

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Solution

The fourth proportional to 11,737.17, 17,594.76 and 3,940.50 is: 5,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.17 : 17,594.76 = 3,940.50 : x
  2. Step 2: Convert to fraction form
    11,737.17/17,594.76 = 3,940.50/x
  3. Step 3: Cross multiply
    11,737.17x = 17,594.76 × 3,940.50
  4. Step 4: Simplify right side
    11,737.17x = 69,332,151.78
  5. Step 5: Solve for x
    x = 69,332,151.78/11,737.17
  6. Step 6: Final answer
    x = 5,907.06

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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.