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Finding the Fourth Proportional to 7,589.31, 11,384.22 and 2,662.38

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Solution

The fourth proportional to 7,589.31, 11,384.22 and 2,662.38 is: 3,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.31 : 11,384.22 = 2,662.38 : x
  2. Step 2: Convert to fraction form
    7,589.31/11,384.22 = 2,662.38/x
  3. Step 3: Cross multiply
    7,589.31x = 11,384.22 × 2,662.38
  4. Step 4: Simplify right side
    7,589.31x = 30,309,119.64
  5. Step 5: Solve for x
    x = 30,309,119.64/7,589.31
  6. Step 6: Final answer
    x = 3,993.66

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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.