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Finding the Fourth Proportional to 11,471.55, 17,205.38 and 3,149.63

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Solution

The fourth proportional to 11,471.55, 17,205.38 and 3,149.63 is: 4,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.55 : 17,205.38 = 3,149.63 : x
  2. Step 2: Convert to fraction form
    11,471.55/17,205.38 = 3,149.63/x
  3. Step 3: Cross multiply
    11,471.55x = 17,205.38 × 3,149.63
  4. Step 4: Simplify right side
    11,471.55x = 54,190,631.90
  5. Step 5: Solve for x
    x = 54,190,631.90/11,471.55
  6. Step 6: Final answer
    x = 4,723.92

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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.