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Finding the Fourth Proportional to 11,604.84, 17,408.19 and 3,708.48

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Solution

The fourth proportional to 11,604.84, 17,408.19 and 3,708.48 is: 5,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.84 : 17,408.19 = 3,708.48 : x
  2. Step 2: Convert to fraction form
    11,604.84/17,408.19 = 3,708.48/x
  3. Step 3: Cross multiply
    11,604.84x = 17,408.19 × 3,708.48
  4. Step 4: Simplify right side
    11,604.84x = 64,557,993.21
  5. Step 5: Solve for x
    x = 64,557,993.21/11,604.84
  6. Step 6: Final answer
    x = 5,563.02

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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.