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Finding the Fourth Proportional to 11,464.67, 17,197.03 and 3,144.80

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Solution

The fourth proportional to 11,464.67, 17,197.03 and 3,144.80 is: 4,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.67 : 17,197.03 = 3,144.80 : x
  2. Step 2: Convert to fraction form
    11,464.67/17,197.03 = 3,144.80/x
  3. Step 3: Cross multiply
    11,464.67x = 17,197.03 × 3,144.80
  4. Step 4: Simplify right side
    11,464.67x = 54,081,266.87
  5. Step 5: Solve for x
    x = 54,081,266.87/11,464.67
  6. Step 6: Final answer
    x = 4,717.21

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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.