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Finding the Fourth Proportional to 11,751.36, 16,217.90 and 6,447.21

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Solution

The fourth proportional to 11,751.36, 16,217.90 and 6,447.21 is: 8,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.36 : 16,217.90 = 6,447.21 : x
  2. Step 2: Convert to fraction form
    11,751.36/16,217.90 = 6,447.21/x
  3. Step 3: Cross multiply
    11,751.36x = 16,217.90 × 6,447.21
  4. Step 4: Simplify right side
    11,751.36x = 104,560,174.82
  5. Step 5: Solve for x
    x = 104,560,174.82/11,751.36
  6. Step 6: Final answer
    x = 8,897.71

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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.