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Finding the Fourth Proportional to 11,906.78, 16,431.32 and 6,601.46

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Solution

The fourth proportional to 11,906.78, 16,431.32 and 6,601.46 is: 9,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.78 : 16,431.32 = 6,601.46 : x
  2. Step 2: Convert to fraction form
    11,906.78/16,431.32 = 6,601.46/x
  3. Step 3: Cross multiply
    11,906.78x = 16,431.32 × 6,601.46
  4. Step 4: Simplify right side
    11,906.78x = 108,470,636.07
  5. Step 5: Solve for x
    x = 108,470,636.07/11,906.78
  6. Step 6: Final answer
    x = 9,109.99

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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.