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Finding the Fourth Proportional to 7,963.01, 11,944.31 and 3,805.95

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Solution

The fourth proportional to 7,963.01, 11,944.31 and 3,805.95 is: 5,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.01 : 11,944.31 = 3,805.95 : x
  2. Step 2: Convert to fraction form
    7,963.01/11,944.31 = 3,805.95/x
  3. Step 3: Cross multiply
    7,963.01x = 11,944.31 × 3,805.95
  4. Step 4: Simplify right side
    7,963.01x = 45,459,427.61
  5. Step 5: Solve for x
    x = 45,459,427.61/7,963.01
  6. Step 6: Final answer
    x = 5,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.