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Finding the Fourth Proportional to 8,761.75, 13,142.63 and 2,605.75

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Solution

The fourth proportional to 8,761.75, 13,142.63 and 2,605.75 is: 3,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.75 : 13,142.63 = 2,605.75 : x
  2. Step 2: Convert to fraction form
    8,761.75/13,142.63 = 2,605.75/x
  3. Step 3: Cross multiply
    8,761.75x = 13,142.63 × 2,605.75
  4. Step 4: Simplify right side
    8,761.75x = 34,246,408.12
  5. Step 5: Solve for x
    x = 34,246,408.12/8,761.75
  6. Step 6: Final answer
    x = 3,908.63

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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.