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Finding the Fourth Proportional to 8,605.24, 12,906.64 and 2,761.09

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Solution

The fourth proportional to 8,605.24, 12,906.64 and 2,761.09 is: 4,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.24 : 12,906.64 = 2,761.09 : x
  2. Step 2: Convert to fraction form
    8,605.24/12,906.64 = 2,761.09/x
  3. Step 3: Cross multiply
    8,605.24x = 12,906.64 × 2,761.09
  4. Step 4: Simplify right side
    8,605.24x = 35,636,394.64
  5. Step 5: Solve for x
    x = 35,636,394.64/8,605.24
  6. Step 6: Final answer
    x = 4,141.24

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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.