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Finding the Fourth Proportional to 10,789.92, 16,187.18 and 6,112.14

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Solution

The fourth proportional to 10,789.92, 16,187.18 and 6,112.14 is: 9,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.92 : 16,187.18 = 6,112.14 : x
  2. Step 2: Convert to fraction form
    10,789.92/16,187.18 = 6,112.14/x
  3. Step 3: Cross multiply
    10,789.92x = 16,187.18 × 6,112.14
  4. Step 4: Simplify right side
    10,789.92x = 98,938,310.37
  5. Step 5: Solve for x
    x = 98,938,310.37/10,789.92
  6. Step 6: Final answer
    x = 9,169.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.