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Finding the Fourth Proportional to 7,422.57, 11,135.75 and 5,471.43

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Solution

The fourth proportional to 7,422.57, 11,135.75 and 5,471.43 is: 8,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.57 : 11,135.75 = 5,471.43 : x
  2. Step 2: Convert to fraction form
    7,422.57/11,135.75 = 5,471.43/x
  3. Step 3: Cross multiply
    7,422.57x = 11,135.75 × 5,471.43
  4. Step 4: Simplify right side
    7,422.57x = 60,928,449.27
  5. Step 5: Solve for x
    x = 60,928,449.27/7,422.57
  6. Step 6: Final answer
    x = 8,208.54

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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.