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Finding the Fourth Proportional to 11,731.67, 17,597.73 and 3,834.22

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Solution

The fourth proportional to 11,731.67, 17,597.73 and 3,834.22 is: 5,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.67 : 17,597.73 = 3,834.22 : x
  2. Step 2: Convert to fraction form
    11,731.67/17,597.73 = 3,834.22/x
  3. Step 3: Cross multiply
    11,731.67x = 17,597.73 × 3,834.22
  4. Step 4: Simplify right side
    11,731.67x = 67,473,480.33
  5. Step 5: Solve for x
    x = 67,473,480.33/11,731.67
  6. Step 6: Final answer
    x = 5,751.40

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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.