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Finding the Fourth Proportional to 11,220.55, 16,832.41 and 3,826.22

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Solution

The fourth proportional to 11,220.55, 16,832.41 and 3,826.22 is: 5,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.55 : 16,832.41 = 3,826.22 : x
  2. Step 2: Convert to fraction form
    11,220.55/16,832.41 = 3,826.22/x
  3. Step 3: Cross multiply
    11,220.55x = 16,832.41 × 3,826.22
  4. Step 4: Simplify right side
    11,220.55x = 64,404,410.06
  5. Step 5: Solve for x
    x = 64,404,410.06/11,220.55
  6. Step 6: Final answer
    x = 5,739.86

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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.