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Finding the Fourth Proportional to 7,944.78, 10,962.21 and 4,800.97

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Solution

The fourth proportional to 7,944.78, 10,962.21 and 4,800.97 is: 6,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.78 : 10,962.21 = 4,800.97 : x
  2. Step 2: Convert to fraction form
    7,944.78/10,962.21 = 4,800.97/x
  3. Step 3: Cross multiply
    7,944.78x = 10,962.21 × 4,800.97
  4. Step 4: Simplify right side
    7,944.78x = 52,629,241.34
  5. Step 5: Solve for x
    x = 52,629,241.34/7,944.78
  6. Step 6: Final answer
    x = 6,624.38

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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.