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Finding the Fourth Proportional to 6,745.75, 10,119.77 and 2,302.95

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Solution

The fourth proportional to 6,745.75, 10,119.77 and 2,302.95 is: 3,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.75 : 10,119.77 = 2,302.95 : x
  2. Step 2: Convert to fraction form
    6,745.75/10,119.77 = 2,302.95/x
  3. Step 3: Cross multiply
    6,745.75x = 10,119.77 × 2,302.95
  4. Step 4: Simplify right side
    6,745.75x = 23,305,324.32
  5. Step 5: Solve for x
    x = 23,305,324.32/6,745.75
  6. Step 6: Final answer
    x = 3,454.82

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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.