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Finding the Fourth Proportional to 8,134.48, 12,205.80 and 2,942.80

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Solution

The fourth proportional to 8,134.48, 12,205.80 and 2,942.80 is: 4,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.48 : 12,205.80 = 2,942.80 : x
  2. Step 2: Convert to fraction form
    8,134.48/12,205.80 = 2,942.80/x
  3. Step 3: Cross multiply
    8,134.48x = 12,205.80 × 2,942.80
  4. Step 4: Simplify right side
    8,134.48x = 35,919,228.24
  5. Step 5: Solve for x
    x = 35,919,228.24/8,134.48
  6. Step 6: Final answer
    x = 4,415.68

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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.