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Finding the Fourth Proportional to 11,736.82, 16,197.18 and 6,431.96

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Solution

The fourth proportional to 11,736.82, 16,197.18 and 6,431.96 is: 8,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.82 : 16,197.18 = 6,431.96 : x
  2. Step 2: Convert to fraction form
    11,736.82/16,197.18 = 6,431.96/x
  3. Step 3: Cross multiply
    11,736.82x = 16,197.18 × 6,431.96
  4. Step 4: Simplify right side
    11,736.82x = 104,179,532.89
  5. Step 5: Solve for x
    x = 104,179,532.89/11,736.82
  6. Step 6: Final answer
    x = 8,876.30

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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.