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Finding the Fourth Proportional to 10,757.27, 14,844.48 and 5,977.49

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Solution

The fourth proportional to 10,757.27, 14,844.48 and 5,977.49 is: 8,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.27 : 14,844.48 = 5,977.49 : x
  2. Step 2: Convert to fraction form
    10,757.27/14,844.48 = 5,977.49/x
  3. Step 3: Cross multiply
    10,757.27x = 14,844.48 × 5,977.49
  4. Step 4: Simplify right side
    10,757.27x = 88,732,656.53
  5. Step 5: Solve for x
    x = 88,732,656.53/10,757.27
  6. Step 6: Final answer
    x = 8,248.63

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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.