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Finding the Fourth Proportional to 8,605.72, 12,905.82 and 2,761

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Solution

The fourth proportional to 8,605.72, 12,905.82 and 2,761 is: 4,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.72 : 12,905.82 = 2,761 : x
  2. Step 2: Convert to fraction form
    8,605.72/12,905.82 = 2,761/x
  3. Step 3: Cross multiply
    8,605.72x = 12,905.82 × 2,761
  4. Step 4: Simplify right side
    8,605.72x = 35,632,969.02
  5. Step 5: Solve for x
    x = 35,632,969.02/8,605.72
  6. Step 6: Final answer
    x = 4,140.61

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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.