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Finding the Fourth Proportional to 11,735.46, 17,604.90 and 3,942.42

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Solution

The fourth proportional to 11,735.46, 17,604.90 and 3,942.42 is: 5,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.46 : 17,604.90 = 3,942.42 : x
  2. Step 2: Convert to fraction form
    11,735.46/17,604.90 = 3,942.42/x
  3. Step 3: Cross multiply
    11,735.46x = 17,604.90 × 3,942.42
  4. Step 4: Simplify right side
    11,735.46x = 69,405,909.86
  5. Step 5: Solve for x
    x = 69,405,909.86/11,735.46
  6. Step 6: Final answer
    x = 5,914.20

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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.