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Finding the Fourth Proportional to 11,468.64, 17,201.16 and 3,149.28

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Solution

The fourth proportional to 11,468.64, 17,201.16 and 3,149.28 is: 4,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.64 : 17,201.16 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    11,468.64/17,201.16 = 3,149.28/x
  3. Step 3: Cross multiply
    11,468.64x = 17,201.16 × 3,149.28
  4. Step 4: Simplify right side
    11,468.64x = 54,171,269.16
  5. Step 5: Solve for x
    x = 54,171,269.16/11,468.64
  6. Step 6: Final answer
    x = 4,723.43

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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.