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Finding the Fourth Proportional to 11,474.33, 17,168.00 and 6,796.85

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Solution

The fourth proportional to 11,474.33, 17,168.00 and 6,796.85 is: 10,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.33 : 17,168.00 = 6,796.85 : x
  2. Step 2: Convert to fraction form
    11,474.33/17,168.00 = 6,796.85/x
  3. Step 3: Cross multiply
    11,474.33x = 17,168.00 × 6,796.85
  4. Step 4: Simplify right side
    11,474.33x = 116,688,200.98
  5. Step 5: Solve for x
    x = 116,688,200.98/11,474.33
  6. Step 6: Final answer
    x = 10,169.50

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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.