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Finding the Fourth Proportional to 7,940.52, 10,958.22 and 5,947.56

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Solution

The fourth proportional to 7,940.52, 10,958.22 and 5,947.56 is: 8,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.52 : 10,958.22 = 5,947.56 : x
  2. Step 2: Convert to fraction form
    7,940.52/10,958.22 = 5,947.56/x
  3. Step 3: Cross multiply
    7,940.52x = 10,958.22 × 5,947.56
  4. Step 4: Simplify right side
    7,940.52x = 65,174,670.94
  5. Step 5: Solve for x
    x = 65,174,670.94/7,940.52
  6. Step 6: Final answer
    x = 8,207.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.