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Finding the Fourth Proportional to 11,107.91, 16,656.39 and 4,082.96

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Solution

The fourth proportional to 11,107.91, 16,656.39 and 4,082.96 is: 6,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.91 : 16,656.39 = 4,082.96 : x
  2. Step 2: Convert to fraction form
    11,107.91/16,656.39 = 4,082.96/x
  3. Step 3: Cross multiply
    11,107.91x = 16,656.39 × 4,082.96
  4. Step 4: Simplify right side
    11,107.91x = 68,007,290.83
  5. Step 5: Solve for x
    x = 68,007,290.83/11,107.91
  6. Step 6: Final answer
    x = 6,122.42

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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.