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Finding the Fourth Proportional to 7,956, 10,982.22 and 6,832.41

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Solution

The fourth proportional to 7,956, 10,982.22 and 6,832.41 is: 9,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956 : 10,982.22 = 6,832.41 : x
  2. Step 2: Convert to fraction form
    7,956/10,982.22 = 6,832.41/x
  3. Step 3: Cross multiply
    7,956x = 10,982.22 × 6,832.41
  4. Step 4: Simplify right side
    7,956x = 75,035,029.75
  5. Step 5: Solve for x
    x = 75,035,029.75/7,956
  6. Step 6: Final answer
    x = 9,431.25

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Why These Related Problems?

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