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Finding the Fourth Proportional to 8,383.53, 12,576.84 and 2,761.53

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Solution

The fourth proportional to 8,383.53, 12,576.84 and 2,761.53 is: 4,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.53 : 12,576.84 = 2,761.53 : x
  2. Step 2: Convert to fraction form
    8,383.53/12,576.84 = 2,761.53/x
  3. Step 3: Cross multiply
    8,383.53x = 12,576.84 × 2,761.53
  4. Step 4: Simplify right side
    8,383.53x = 34,731,320.97
  5. Step 5: Solve for x
    x = 34,731,320.97/8,383.53
  6. Step 6: Final answer
    x = 4,142.80

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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.