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Finding the Fourth Proportional to 11,408.20, 17,110.59 and 3,616

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Solution

The fourth proportional to 11,408.20, 17,110.59 and 3,616 is: 5,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.20 : 17,110.59 = 3,616 : x
  2. Step 2: Convert to fraction form
    11,408.20/17,110.59 = 3,616/x
  3. Step 3: Cross multiply
    11,408.20x = 17,110.59 × 3,616
  4. Step 4: Simplify right side
    11,408.20x = 61,871,893.44
  5. Step 5: Solve for x
    x = 61,871,893.44/11,408.20
  6. Step 6: Final answer
    x = 5,423.46

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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.