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Finding the Fourth Proportional to 11,919, 16,448.22 and 7,727.25

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Solution

The fourth proportional to 11,919, 16,448.22 and 7,727.25 is: 10,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 16,448.22 = 7,727.25 : x
  2. Step 2: Convert to fraction form
    11,919/16,448.22 = 7,727.25/x
  3. Step 3: Cross multiply
    11,919x = 16,448.22 × 7,727.25
  4. Step 4: Simplify right side
    11,919x = 127,099,508.00
  5. Step 5: Solve for x
    x = 127,099,508.00/11,919
  6. Step 6: Final answer
    x = 10,663.61

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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.