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Finding the Fourth Proportional to 11,919.17, 16,448.64 and 6,614.33

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Solution

The fourth proportional to 11,919.17, 16,448.64 and 6,614.33 is: 9,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.17 : 16,448.64 = 6,614.33 : x
  2. Step 2: Convert to fraction form
    11,919.17/16,448.64 = 6,614.33/x
  3. Step 3: Cross multiply
    11,919.17x = 16,448.64 × 6,614.33
  4. Step 4: Simplify right side
    11,919.17x = 108,796,699.94
  5. Step 5: Solve for x
    x = 108,796,699.94/11,919.17
  6. Step 6: Final answer
    x = 9,127.87

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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.