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Finding the Fourth Proportional to 6,874.09, 10,296.78 and 4,396.33

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Solution

The fourth proportional to 6,874.09, 10,296.78 and 4,396.33 is: 6,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.09 : 10,296.78 = 4,396.33 : x
  2. Step 2: Convert to fraction form
    6,874.09/10,296.78 = 4,396.33/x
  3. Step 3: Cross multiply
    6,874.09x = 10,296.78 × 4,396.33
  4. Step 4: Simplify right side
    6,874.09x = 45,268,012.19
  5. Step 5: Solve for x
    x = 45,268,012.19/6,874.09
  6. Step 6: Final answer
    x = 6,585.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.