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Finding the Fourth Proportional to 8,146.82, 11,242.60 and 4,609.94

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Solution

The fourth proportional to 8,146.82, 11,242.60 and 4,609.94 is: 6,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.82 : 11,242.60 = 4,609.94 : x
  2. Step 2: Convert to fraction form
    8,146.82/11,242.60 = 4,609.94/x
  3. Step 3: Cross multiply
    8,146.82x = 11,242.60 × 4,609.94
  4. Step 4: Simplify right side
    8,146.82x = 51,827,711.44
  5. Step 5: Solve for x
    x = 51,827,711.44/8,146.82
  6. Step 6: Final answer
    x = 6,361.71

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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.