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Finding the Fourth Proportional to 11,754.55, 17,632.29 and 5,179.24

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Solution

The fourth proportional to 11,754.55, 17,632.29 and 5,179.24 is: 7,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.55 : 17,632.29 = 5,179.24 : x
  2. Step 2: Convert to fraction form
    11,754.55/17,632.29 = 5,179.24/x
  3. Step 3: Cross multiply
    11,754.55x = 17,632.29 × 5,179.24
  4. Step 4: Simplify right side
    11,754.55x = 91,321,773.50
  5. Step 5: Solve for x
    x = 91,321,773.50/11,754.55
  6. Step 6: Final answer
    x = 7,769.06

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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.