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Finding the Fourth Proportional to 8,063, 12,087.96 and 2,866.04

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Solution

The fourth proportional to 8,063, 12,087.96 and 2,866.04 is: 4,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063 : 12,087.96 = 2,866.04 : x
  2. Step 2: Convert to fraction form
    8,063/12,087.96 = 2,866.04/x
  3. Step 3: Cross multiply
    8,063x = 12,087.96 × 2,866.04
  4. Step 4: Simplify right side
    8,063x = 34,644,576.88
  5. Step 5: Solve for x
    x = 34,644,576.88/8,063
  6. Step 6: Final answer
    x = 4,296.74

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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.