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Finding the Fourth Proportional to 6,745.12, 10,123.44 and 5,385.76

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Solution

The fourth proportional to 6,745.12, 10,123.44 and 5,385.76 is: 8,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.12 : 10,123.44 = 5,385.76 : x
  2. Step 2: Convert to fraction form
    6,745.12/10,123.44 = 5,385.76/x
  3. Step 3: Cross multiply
    6,745.12x = 10,123.44 × 5,385.76
  4. Step 4: Simplify right side
    6,745.12x = 54,522,418.21
  5. Step 5: Solve for x
    x = 54,522,418.21/6,745.12
  6. Step 6: Final answer
    x = 8,083.24

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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.