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Finding the Fourth Proportional to 7,699.72, 11,542.62 and 2,768.20

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Solution

The fourth proportional to 7,699.72, 11,542.62 and 2,768.20 is: 4,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.72 : 11,542.62 = 2,768.20 : x
  2. Step 2: Convert to fraction form
    7,699.72/11,542.62 = 2,768.20/x
  3. Step 3: Cross multiply
    7,699.72x = 11,542.62 × 2,768.20
  4. Step 4: Simplify right side
    7,699.72x = 31,952,280.68
  5. Step 5: Solve for x
    x = 31,952,280.68/7,699.72
  6. Step 6: Final answer
    x = 4,149.80

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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.