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Finding the Fourth Proportional to 8,311.33, 11,468.82 and 5,798.84

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Solution

The fourth proportional to 8,311.33, 11,468.82 and 5,798.84 is: 8,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.33 : 11,468.82 = 5,798.84 : x
  2. Step 2: Convert to fraction form
    8,311.33/11,468.82 = 5,798.84/x
  3. Step 3: Cross multiply
    8,311.33x = 11,468.82 × 5,798.84
  4. Step 4: Simplify right side
    8,311.33x = 66,505,905.00
  5. Step 5: Solve for x
    x = 66,505,905.00/8,311.33
  6. Step 6: Final answer
    x = 8,001.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.