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Finding the Fourth Proportional to 8,146.26, 11,241.96 and 4,789.14

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Solution

The fourth proportional to 8,146.26, 11,241.96 and 4,789.14 is: 6,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.26 : 11,241.96 = 4,789.14 : x
  2. Step 2: Convert to fraction form
    8,146.26/11,241.96 = 4,789.14/x
  3. Step 3: Cross multiply
    8,146.26x = 11,241.96 × 4,789.14
  4. Step 4: Simplify right side
    8,146.26x = 53,839,320.31
  5. Step 5: Solve for x
    x = 53,839,320.31/8,146.26
  6. Step 6: Final answer
    x = 6,609.08

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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.