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Finding the Fourth Proportional to 6,745.80, 10,123.31 and 2,363.20

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Solution

The fourth proportional to 6,745.80, 10,123.31 and 2,363.20 is: 3,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.80 : 10,123.31 = 2,363.20 : x
  2. Step 2: Convert to fraction form
    6,745.80/10,123.31 = 2,363.20/x
  3. Step 3: Cross multiply
    6,745.80x = 10,123.31 × 2,363.20
  4. Step 4: Simplify right side
    6,745.80x = 23,923,406.19
  5. Step 5: Solve for x
    x = 23,923,406.19/6,745.80
  6. Step 6: Final answer
    x = 3,546.41

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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.