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Finding the Fourth Proportional to 11,227.46, 16,846.05 and 6,027.26

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Solution

The fourth proportional to 11,227.46, 16,846.05 and 6,027.26 is: 9,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.46 : 16,846.05 = 6,027.26 : x
  2. Step 2: Convert to fraction form
    11,227.46/16,846.05 = 6,027.26/x
  3. Step 3: Cross multiply
    11,227.46x = 16,846.05 × 6,027.26
  4. Step 4: Simplify right side
    11,227.46x = 101,535,523.32
  5. Step 5: Solve for x
    x = 101,535,523.32/11,227.46
  6. Step 6: Final answer
    x = 9,043.50

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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.