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Finding the Fourth Proportional to 11,919.44, 16,448.83 and 6,614.26

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Solution

The fourth proportional to 11,919.44, 16,448.83 and 6,614.26 is: 9,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.44 : 16,448.83 = 6,614.26 : x
  2. Step 2: Convert to fraction form
    11,919.44/16,448.83 = 6,614.26/x
  3. Step 3: Cross multiply
    11,919.44x = 16,448.83 × 6,614.26
  4. Step 4: Simplify right side
    11,919.44x = 108,796,838.32
  5. Step 5: Solve for x
    x = 108,796,838.32/11,919.44
  6. Step 6: Final answer
    x = 9,127.68

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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.