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Finding the Fourth Proportional to 6,745.76, 10,123.30 and 2,363.24

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Solution

The fourth proportional to 6,745.76, 10,123.30 and 2,363.24 is: 3,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.76 : 10,123.30 = 2,363.24 : x
  2. Step 2: Convert to fraction form
    6,745.76/10,123.30 = 2,363.24/x
  3. Step 3: Cross multiply
    6,745.76x = 10,123.30 × 2,363.24
  4. Step 4: Simplify right side
    6,745.76x = 23,923,787.49
  5. Step 5: Solve for x
    x = 23,923,787.49/6,745.76
  6. Step 6: Final answer
    x = 3,546.49

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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.