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Finding the Fourth Proportional to 11,769.67, 17,654.93 and 3,766.06

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Solution

The fourth proportional to 11,769.67, 17,654.93 and 3,766.06 is: 5,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.67 : 17,654.93 = 3,766.06 : x
  2. Step 2: Convert to fraction form
    11,769.67/17,654.93 = 3,766.06/x
  3. Step 3: Cross multiply
    11,769.67x = 17,654.93 × 3,766.06
  4. Step 4: Simplify right side
    11,769.67x = 66,489,543.04
  5. Step 5: Solve for x
    x = 66,489,543.04/11,769.67
  6. Step 6: Final answer
    x = 5,649.23

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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.