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Finding the Fourth Proportional to 11,475.24, 17,169.42 and 6,797.76

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Solution

The fourth proportional to 11,475.24, 17,169.42 and 6,797.76 is: 10,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.24 : 17,169.42 = 6,797.76 : x
  2. Step 2: Convert to fraction form
    11,475.24/17,169.42 = 6,797.76/x
  3. Step 3: Cross multiply
    11,475.24x = 17,169.42 × 6,797.76
  4. Step 4: Simplify right side
    11,475.24x = 116,713,596.50
  5. Step 5: Solve for x
    x = 116,713,596.50/11,475.24
  6. Step 6: Final answer
    x = 10,170.91

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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.