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Finding the Fourth Proportional to 11,605.50, 17,408.57 and 3,286.40

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Solution

The fourth proportional to 11,605.50, 17,408.57 and 3,286.40 is: 4,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.50 : 17,408.57 = 3,286.40 : x
  2. Step 2: Convert to fraction form
    11,605.50/17,408.57 = 3,286.40/x
  3. Step 3: Cross multiply
    11,605.50x = 17,408.57 × 3,286.40
  4. Step 4: Simplify right side
    11,605.50x = 57,211,420.97
  5. Step 5: Solve for x
    x = 57,211,420.97/11,605.50
  6. Step 6: Final answer
    x = 4,929.68

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Why These Related Problems?

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