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Finding the Fourth Proportional to 11,919, 16,449.65 and 8,140.96

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Solution

The fourth proportional to 11,919, 16,449.65 and 8,140.96 is: 11,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 16,449.65 = 8,140.96 : x
  2. Step 2: Convert to fraction form
    11,919/16,449.65 = 8,140.96/x
  3. Step 3: Cross multiply
    11,919x = 16,449.65 × 8,140.96
  4. Step 4: Simplify right side
    11,919x = 133,915,942.66
  5. Step 5: Solve for x
    x = 133,915,942.66/11,919
  6. Step 6: Final answer
    x = 11,235.50

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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.