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Finding the Fourth Proportional to 8,189.82, 11,301.96 and 4,463.82

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Solution

The fourth proportional to 8,189.82, 11,301.96 and 4,463.82 is: 6,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.82 : 11,301.96 = 4,463.82 : x
  2. Step 2: Convert to fraction form
    8,189.82/11,301.96 = 4,463.82/x
  3. Step 3: Cross multiply
    8,189.82x = 11,301.96 × 4,463.82
  4. Step 4: Simplify right side
    8,189.82x = 50,449,915.09
  5. Step 5: Solve for x
    x = 50,449,915.09/8,189.82
  6. Step 6: Final answer
    x = 6,160.08

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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.