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Finding the Fourth Proportional to 8,542.67, 12,813.66 and 2,997.27

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Solution

The fourth proportional to 8,542.67, 12,813.66 and 2,997.27 is: 4,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.67 : 12,813.66 = 2,997.27 : x
  2. Step 2: Convert to fraction form
    8,542.67/12,813.66 = 2,997.27/x
  3. Step 3: Cross multiply
    8,542.67x = 12,813.66 × 2,997.27
  4. Step 4: Simplify right side
    8,542.67x = 38,405,998.71
  5. Step 5: Solve for x
    x = 38,405,998.71/8,542.67
  6. Step 6: Final answer
    x = 4,495.79

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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.