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Finding the Fourth Proportional to 8,419.14, 11,605.19 and 5,761.94

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Solution

The fourth proportional to 8,419.14, 11,605.19 and 5,761.94 is: 7,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.14 : 11,605.19 = 5,761.94 : x
  2. Step 2: Convert to fraction form
    8,419.14/11,605.19 = 5,761.94/x
  3. Step 3: Cross multiply
    8,419.14x = 11,605.19 × 5,761.94
  4. Step 4: Simplify right side
    8,419.14x = 66,868,321.63
  5. Step 5: Solve for x
    x = 66,868,321.63/8,419.14
  6. Step 6: Final answer
    x = 7,942.42

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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.