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Finding the Fourth Proportional to 11,906.63, 16,431.15 and 6,601.33

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Solution

The fourth proportional to 11,906.63, 16,431.15 and 6,601.33 is: 9,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.63 : 16,431.15 = 6,601.33 : x
  2. Step 2: Convert to fraction form
    11,906.63/16,431.15 = 6,601.33/x
  3. Step 3: Cross multiply
    11,906.63x = 16,431.15 × 6,601.33
  4. Step 4: Simplify right side
    11,906.63x = 108,467,443.43
  5. Step 5: Solve for x
    x = 108,467,443.43/11,906.63
  6. Step 6: Final answer
    x = 9,109.84

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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.