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Finding the Fourth Proportional to 11,227.91, 16,843.40 and 3,830.38

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Solution

The fourth proportional to 11,227.91, 16,843.40 and 3,830.38 is: 5,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.91 : 16,843.40 = 3,830.38 : x
  2. Step 2: Convert to fraction form
    11,227.91/16,843.40 = 3,830.38/x
  3. Step 3: Cross multiply
    11,227.91x = 16,843.40 × 3,830.38
  4. Step 4: Simplify right side
    11,227.91x = 64,516,622.97
  5. Step 5: Solve for x
    x = 64,516,622.97/11,227.91
  6. Step 6: Final answer
    x = 5,746.09

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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.