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Finding the Fourth Proportional to 11,736.97, 16,197.06 and 6,431.87

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Solution

The fourth proportional to 11,736.97, 16,197.06 and 6,431.87 is: 8,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.97 : 16,197.06 = 6,431.87 : x
  2. Step 2: Convert to fraction form
    11,736.97/16,197.06 = 6,431.87/x
  3. Step 3: Cross multiply
    11,736.97x = 16,197.06 × 6,431.87
  4. Step 4: Simplify right side
    11,736.97x = 104,177,448.91
  5. Step 5: Solve for x
    x = 104,177,448.91/11,736.97
  6. Step 6: Final answer
    x = 8,876.01

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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.