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Finding the Fourth Proportional to 11,616.98, 17,414.91 and 4,218.26

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Solution

The fourth proportional to 11,616.98, 17,414.91 and 4,218.26 is: 6,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.98 : 17,414.91 = 4,218.26 : x
  2. Step 2: Convert to fraction form
    11,616.98/17,414.91 = 4,218.26/x
  3. Step 3: Cross multiply
    11,616.98x = 17,414.91 × 4,218.26
  4. Step 4: Simplify right side
    11,616.98x = 73,460,618.26
  5. Step 5: Solve for x
    x = 73,460,618.26/11,616.98
  6. Step 6: Final answer
    x = 6,323.56

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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.