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Finding the Fourth Proportional to 10,757.68, 14,845.40 and 5,977.64

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Solution

The fourth proportional to 10,757.68, 14,845.40 and 5,977.64 is: 8,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.68 : 14,845.40 = 5,977.64 : x
  2. Step 2: Convert to fraction form
    10,757.68/14,845.40 = 5,977.64/x
  3. Step 3: Cross multiply
    10,757.68x = 14,845.40 × 5,977.64
  4. Step 4: Simplify right side
    10,757.68x = 88,740,456.86
  5. Step 5: Solve for x
    x = 88,740,456.86/10,757.68
  6. Step 6: Final answer
    x = 8,249.03

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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.