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Finding the Fourth Proportional to 8,502.75, 12,755.27 and 2,659.82

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Solution

The fourth proportional to 8,502.75, 12,755.27 and 2,659.82 is: 3,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.75 : 12,755.27 = 2,659.82 : x
  2. Step 2: Convert to fraction form
    8,502.75/12,755.27 = 2,659.82/x
  3. Step 3: Cross multiply
    8,502.75x = 12,755.27 × 2,659.82
  4. Step 4: Simplify right side
    8,502.75x = 33,926,665.12
  5. Step 5: Solve for x
    x = 33,926,665.12/8,502.75
  6. Step 6: Final answer
    x = 3,990.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.