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Finding the Fourth Proportional to 11,737.16, 17,594.78 and 3,940.50

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Solution

The fourth proportional to 11,737.16, 17,594.78 and 3,940.50 is: 5,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.16 : 17,594.78 = 3,940.50 : x
  2. Step 2: Convert to fraction form
    11,737.16/17,594.78 = 3,940.50/x
  3. Step 3: Cross multiply
    11,737.16x = 17,594.78 × 3,940.50
  4. Step 4: Simplify right side
    11,737.16x = 69,332,230.59
  5. Step 5: Solve for x
    x = 69,332,230.59/11,737.16
  6. Step 6: Final answer
    x = 5,907.07

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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.