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Finding the Fourth Proportional to 11,737.29, 16,198.82 and 6,702.23

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Solution

The fourth proportional to 11,737.29, 16,198.82 and 6,702.23 is: 9,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.29 : 16,198.82 = 6,702.23 : x
  2. Step 2: Convert to fraction form
    11,737.29/16,198.82 = 6,702.23/x
  3. Step 3: Cross multiply
    11,737.29x = 16,198.82 × 6,702.23
  4. Step 4: Simplify right side
    11,737.29x = 108,568,217.37
  5. Step 5: Solve for x
    x = 108,568,217.37/11,737.29
  6. Step 6: Final answer
    x = 9,249.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.