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Finding the Fourth Proportional to 8,146.26, 11,241.18 and 4,609.80

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Solution

The fourth proportional to 8,146.26, 11,241.18 and 4,609.80 is: 6,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.26 : 11,241.18 = 4,609.80 : x
  2. Step 2: Convert to fraction form
    8,146.26/11,241.18 = 4,609.80/x
  3. Step 3: Cross multiply
    8,146.26x = 11,241.18 × 4,609.80
  4. Step 4: Simplify right side
    8,146.26x = 51,819,591.56
  5. Step 5: Solve for x
    x = 51,819,591.56/8,146.26
  6. Step 6: Final answer
    x = 6,361.15

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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.