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Finding the Fourth Proportional to 8,826.14, 12,179.22 and 5,049.38

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Solution

The fourth proportional to 8,826.14, 12,179.22 and 5,049.38 is: 6,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.14 : 12,179.22 = 5,049.38 : x
  2. Step 2: Convert to fraction form
    8,826.14/12,179.22 = 5,049.38/x
  3. Step 3: Cross multiply
    8,826.14x = 12,179.22 × 5,049.38
  4. Step 4: Simplify right side
    8,826.14x = 61,497,509.88
  5. Step 5: Solve for x
    x = 61,497,509.88/8,826.14
  6. Step 6: Final answer
    x = 6,967.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.