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Finding the Fourth Proportional to 11,221.62, 16,830.09 and 3,826.02

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Solution

The fourth proportional to 11,221.62, 16,830.09 and 3,826.02 is: 5,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.62 : 16,830.09 = 3,826.02 : x
  2. Step 2: Convert to fraction form
    11,221.62/16,830.09 = 3,826.02/x
  3. Step 3: Cross multiply
    11,221.62x = 16,830.09 × 3,826.02
  4. Step 4: Simplify right side
    11,221.62x = 64,392,260.94
  5. Step 5: Solve for x
    x = 64,392,260.94/11,221.62
  6. Step 6: Final answer
    x = 5,738.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.