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Finding the Fourth Proportional to 11,906.88, 16,431.48 and 7,190.28

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Solution

The fourth proportional to 11,906.88, 16,431.48 and 7,190.28 is: 9,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.88 : 16,431.48 = 7,190.28 : x
  2. Step 2: Convert to fraction form
    11,906.88/16,431.48 = 7,190.28/x
  3. Step 3: Cross multiply
    11,906.88x = 16,431.48 × 7,190.28
  4. Step 4: Simplify right side
    11,906.88x = 118,146,942.01
  5. Step 5: Solve for x
    x = 118,146,942.01/11,906.88
  6. Step 6: Final answer
    x = 9,922.58

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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.