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Finding the Fourth Proportional to 7,961.83, 10,990.38 and 5,308.27

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Solution

The fourth proportional to 7,961.83, 10,990.38 and 5,308.27 is: 7,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.83 : 10,990.38 = 5,308.27 : x
  2. Step 2: Convert to fraction form
    7,961.83/10,990.38 = 5,308.27/x
  3. Step 3: Cross multiply
    7,961.83x = 10,990.38 × 5,308.27
  4. Step 4: Simplify right side
    7,961.83x = 58,339,896.87
  5. Step 5: Solve for x
    x = 58,339,896.87/7,961.83
  6. Step 6: Final answer
    x = 7,327.45

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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.