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Finding the Fourth Proportional to 11,919.69, 16,449.26 and 6,883.97

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Solution

The fourth proportional to 11,919.69, 16,449.26 and 6,883.97 is: 9,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.69 : 16,449.26 = 6,883.97 : x
  2. Step 2: Convert to fraction form
    11,919.69/16,449.26 = 6,883.97/x
  3. Step 3: Cross multiply
    11,919.69x = 16,449.26 × 6,883.97
  4. Step 4: Simplify right side
    11,919.69x = 113,236,095.70
  5. Step 5: Solve for x
    x = 113,236,095.70/11,919.69
  6. Step 6: Final answer
    x = 9,499.92

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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.