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Finding the Fourth Proportional to 6,745.87, 10,111.82 and 2,584.80

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Solution

The fourth proportional to 6,745.87, 10,111.82 and 2,584.80 is: 3,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.87 : 10,111.82 = 2,584.80 : x
  2. Step 2: Convert to fraction form
    6,745.87/10,111.82 = 2,584.80/x
  3. Step 3: Cross multiply
    6,745.87x = 10,111.82 × 2,584.80
  4. Step 4: Simplify right side
    6,745.87x = 26,137,032.34
  5. Step 5: Solve for x
    x = 26,137,032.34/6,745.87
  6. Step 6: Final answer
    x = 3,874.52

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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.