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Finding the Fourth Proportional to 11,408.67, 17,114.76 and 3,619.26

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Solution

The fourth proportional to 11,408.67, 17,114.76 and 3,619.26 is: 5,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.67 : 17,114.76 = 3,619.26 : x
  2. Step 2: Convert to fraction form
    11,408.67/17,114.76 = 3,619.26/x
  3. Step 3: Cross multiply
    11,408.67x = 17,114.76 × 3,619.26
  4. Step 4: Simplify right side
    11,408.67x = 61,942,766.28
  5. Step 5: Solve for x
    x = 61,942,766.28/11,408.67
  6. Step 6: Final answer
    x = 5,429.45

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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.