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Finding the Fourth Proportional to 11,927.66, 17,891.48 and 3,163.25

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Solution

The fourth proportional to 11,927.66, 17,891.48 and 3,163.25 is: 4,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.66 : 17,891.48 = 3,163.25 : x
  2. Step 2: Convert to fraction form
    11,927.66/17,891.48 = 3,163.25/x
  3. Step 3: Cross multiply
    11,927.66x = 17,891.48 × 3,163.25
  4. Step 4: Simplify right side
    11,927.66x = 56,595,276.75
  5. Step 5: Solve for x
    x = 56,595,276.75/11,927.66
  6. Step 6: Final answer
    x = 4,744.88

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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.