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Finding the Fourth Proportional to 8,505.13, 12,757.29 and 2,581.75

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Solution

The fourth proportional to 8,505.13, 12,757.29 and 2,581.75 is: 3,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.13 : 12,757.29 = 2,581.75 : x
  2. Step 2: Convert to fraction form
    8,505.13/12,757.29 = 2,581.75/x
  3. Step 3: Cross multiply
    8,505.13x = 12,757.29 × 2,581.75
  4. Step 4: Simplify right side
    8,505.13x = 32,936,133.46
  5. Step 5: Solve for x
    x = 32,936,133.46/8,505.13
  6. Step 6: Final answer
    x = 3,872.50

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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.