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Finding the Fourth Proportional to 10,745.45, 14,827.42 and 5,965.37

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Solution

The fourth proportional to 10,745.45, 14,827.42 and 5,965.37 is: 8,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.45 : 14,827.42 = 5,965.37 : x
  2. Step 2: Convert to fraction form
    10,745.45/14,827.42 = 5,965.37/x
  3. Step 3: Cross multiply
    10,745.45x = 14,827.42 × 5,965.37
  4. Step 4: Simplify right side
    10,745.45x = 88,451,046.45
  5. Step 5: Solve for x
    x = 88,451,046.45/10,745.45
  6. Step 6: Final answer
    x = 8,231.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.