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Finding the Fourth Proportional to 10,773.97, 16,149.81 and 4,108.68

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Solution

The fourth proportional to 10,773.97, 16,149.81 and 4,108.68 is: 6,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.97 : 16,149.81 = 4,108.68 : x
  2. Step 2: Convert to fraction form
    10,773.97/16,149.81 = 4,108.68/x
  3. Step 3: Cross multiply
    10,773.97x = 16,149.81 × 4,108.68
  4. Step 4: Simplify right side
    10,773.97x = 66,354,371.25
  5. Step 5: Solve for x
    x = 66,354,371.25/10,773.97
  6. Step 6: Final answer
    x = 6,158.77

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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.