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Finding the Fourth Proportional to 8,291.38, 11,439.84 and 5,770.66

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Solution

The fourth proportional to 8,291.38, 11,439.84 and 5,770.66 is: 7,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.38 : 11,439.84 = 5,770.66 : x
  2. Step 2: Convert to fraction form
    8,291.38/11,439.84 = 5,770.66/x
  3. Step 3: Cross multiply
    8,291.38x = 11,439.84 × 5,770.66
  4. Step 4: Simplify right side
    8,291.38x = 66,015,427.09
  5. Step 5: Solve for x
    x = 66,015,427.09/8,291.38
  6. Step 6: Final answer
    x = 7,961.93

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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.