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Finding the Fourth Proportional to 11,737.81, 16,198.38 and 6,433.43

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Solution

The fourth proportional to 11,737.81, 16,198.38 and 6,433.43 is: 8,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.81 : 16,198.38 = 6,433.43 : x
  2. Step 2: Convert to fraction form
    11,737.81/16,198.38 = 6,433.43/x
  3. Step 3: Cross multiply
    11,737.81x = 16,198.38 × 6,433.43
  4. Step 4: Simplify right side
    11,737.81x = 104,211,062.85
  5. Step 5: Solve for x
    x = 104,211,062.85/11,737.81
  6. Step 6: Final answer
    x = 8,878.24

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Why These Related Problems?

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