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Finding the Fourth Proportional to 7,940.86, 11,892.32 and 4,422.12

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Solution

The fourth proportional to 7,940.86, 11,892.32 and 4,422.12 is: 6,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.86 : 11,892.32 = 4,422.12 : x
  2. Step 2: Convert to fraction form
    7,940.86/11,892.32 = 4,422.12/x
  3. Step 3: Cross multiply
    7,940.86x = 11,892.32 × 4,422.12
  4. Step 4: Simplify right side
    7,940.86x = 52,589,266.12
  5. Step 5: Solve for x
    x = 52,589,266.12/7,940.86
  6. Step 6: Final answer
    x = 6,622.62

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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.