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Finding the Fourth Proportional to 8,682.56, 13,023.84 and 2,108.75

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Solution

The fourth proportional to 8,682.56, 13,023.84 and 2,108.75 is: 3,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.56 : 13,023.84 = 2,108.75 : x
  2. Step 2: Convert to fraction form
    8,682.56/13,023.84 = 2,108.75/x
  3. Step 3: Cross multiply
    8,682.56x = 13,023.84 × 2,108.75
  4. Step 4: Simplify right side
    8,682.56x = 27,463,957.48
  5. Step 5: Solve for x
    x = 27,463,957.48/8,682.56
  6. Step 6: Final answer
    x = 3,163.12

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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.