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Finding the Fourth Proportional to 11,603.80, 17,408.22 and 3,812.44

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Solution

The fourth proportional to 11,603.80, 17,408.22 and 3,812.44 is: 5,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.80 : 17,408.22 = 3,812.44 : x
  2. Step 2: Convert to fraction form
    11,603.80/17,408.22 = 3,812.44/x
  3. Step 3: Cross multiply
    11,603.80x = 17,408.22 × 3,812.44
  4. Step 4: Simplify right side
    11,603.80x = 66,367,794.26
  5. Step 5: Solve for x
    x = 66,367,794.26/11,603.80
  6. Step 6: Final answer
    x = 5,719.49

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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.