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Finding the Fourth Proportional to 7,944.12, 10,826.22 and 7,914.96

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Solution

The fourth proportional to 7,944.12, 10,826.22 and 7,914.96 is: 10,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.12 : 10,826.22 = 7,914.96 : x
  2. Step 2: Convert to fraction form
    7,944.12/10,826.22 = 7,914.96/x
  3. Step 3: Cross multiply
    7,944.12x = 10,826.22 × 7,914.96
  4. Step 4: Simplify right side
    7,944.12x = 85,689,098.25
  5. Step 5: Solve for x
    x = 85,689,098.25/7,944.12
  6. Step 6: Final answer
    x = 10,786.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.