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Finding the Fourth Proportional to 11,838.21, 17,751.23 and 3,937.87

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Solution

The fourth proportional to 11,838.21, 17,751.23 and 3,937.87 is: 5,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.21 : 17,751.23 = 3,937.87 : x
  2. Step 2: Convert to fraction form
    11,838.21/17,751.23 = 3,937.87/x
  3. Step 3: Cross multiply
    11,838.21x = 17,751.23 × 3,937.87
  4. Step 4: Simplify right side
    11,838.21x = 69,902,016.39
  5. Step 5: Solve for x
    x = 69,902,016.39/11,838.21
  6. Step 6: Final answer
    x = 5,904.78

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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.