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Finding the Fourth Proportional to 11,604.20, 17,408.93 and 3,813.08

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Solution

The fourth proportional to 11,604.20, 17,408.93 and 3,813.08 is: 5,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.20 : 17,408.93 = 3,813.08 : x
  2. Step 2: Convert to fraction form
    11,604.20/17,408.93 = 3,813.08/x
  3. Step 3: Cross multiply
    11,604.20x = 17,408.93 × 3,813.08
  4. Step 4: Simplify right side
    11,604.20x = 66,381,536.69
  5. Step 5: Solve for x
    x = 66,381,536.69/11,604.20
  6. Step 6: Final answer
    x = 5,720.48

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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.