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Finding the Fourth Proportional to 10,757.73, 14,845.26 and 5,977.92

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Solution

The fourth proportional to 10,757.73, 14,845.26 and 5,977.92 is: 8,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.73 : 14,845.26 = 5,977.92 : x
  2. Step 2: Convert to fraction form
    10,757.73/14,845.26 = 5,977.92/x
  3. Step 3: Cross multiply
    10,757.73x = 14,845.26 × 5,977.92
  4. Step 4: Simplify right side
    10,757.73x = 88,743,776.66
  5. Step 5: Solve for x
    x = 88,743,776.66/10,757.73
  6. Step 6: Final answer
    x = 8,249.30

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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.