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Finding the Fourth Proportional to 6,893.25, 10,331.64 and 2,505.57

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Solution

The fourth proportional to 6,893.25, 10,331.64 and 2,505.57 is: 3,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.25 : 10,331.64 = 2,505.57 : x
  2. Step 2: Convert to fraction form
    6,893.25/10,331.64 = 2,505.57/x
  3. Step 3: Cross multiply
    6,893.25x = 10,331.64 × 2,505.57
  4. Step 4: Simplify right side
    6,893.25x = 25,886,647.23
  5. Step 5: Solve for x
    x = 25,886,647.23/6,893.25
  6. Step 6: Final answer
    x = 3,755.36

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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.