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Finding the Fourth Proportional to 11,616.39, 17,408.34 and 5,767.11

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Solution

The fourth proportional to 11,616.39, 17,408.34 and 5,767.11 is: 8,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.39 : 17,408.34 = 5,767.11 : x
  2. Step 2: Convert to fraction form
    11,616.39/17,408.34 = 5,767.11/x
  3. Step 3: Cross multiply
    11,616.39x = 17,408.34 × 5,767.11
  4. Step 4: Simplify right side
    11,616.39x = 100,395,811.70
  5. Step 5: Solve for x
    x = 100,395,811.70/11,616.39
  6. Step 6: Final answer
    x = 8,642.60

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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.