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Finding the Fourth Proportional to 11,616.33, 17,419.17 and 3,717.31

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Solution

The fourth proportional to 11,616.33, 17,419.17 and 3,717.31 is: 5,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.33 : 17,419.17 = 3,717.31 : x
  2. Step 2: Convert to fraction form
    11,616.33/17,419.17 = 3,717.31/x
  3. Step 3: Cross multiply
    11,616.33x = 17,419.17 × 3,717.31
  4. Step 4: Simplify right side
    11,616.33x = 64,752,454.83
  5. Step 5: Solve for x
    x = 64,752,454.83/11,616.33
  6. Step 6: Final answer
    x = 5,574.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.