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Finding the Fourth Proportional to 11,751.91, 16,217.89 and 6,446.73

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Solution

The fourth proportional to 11,751.91, 16,217.89 and 6,446.73 is: 8,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.91 : 16,217.89 = 6,446.73 : x
  2. Step 2: Convert to fraction form
    11,751.91/16,217.89 = 6,446.73/x
  3. Step 3: Cross multiply
    11,751.91x = 16,217.89 × 6,446.73
  4. Step 4: Simplify right side
    11,751.91x = 104,552,315.87
  5. Step 5: Solve for x
    x = 104,552,315.87/11,751.91
  6. Step 6: Final answer
    x = 8,896.62

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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.