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Finding the Fourth Proportional to 6,813.26, 10,218.75 and 1,881.77

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Solution

The fourth proportional to 6,813.26, 10,218.75 and 1,881.77 is: 2,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.26 : 10,218.75 = 1,881.77 : x
  2. Step 2: Convert to fraction form
    6,813.26/10,218.75 = 1,881.77/x
  3. Step 3: Cross multiply
    6,813.26x = 10,218.75 × 1,881.77
  4. Step 4: Simplify right side
    6,813.26x = 19,229,286.09
  5. Step 5: Solve for x
    x = 19,229,286.09/6,813.26
  6. Step 6: Final answer
    x = 2,822.33

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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.