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Finding the Fourth Proportional to 8,134.10, 12,205.20 and 4,626.80

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Solution

The fourth proportional to 8,134.10, 12,205.20 and 4,626.80 is: 6,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.10 : 12,205.20 = 4,626.80 : x
  2. Step 2: Convert to fraction form
    8,134.10/12,205.20 = 4,626.80/x
  3. Step 3: Cross multiply
    8,134.10x = 12,205.20 × 4,626.80
  4. Step 4: Simplify right side
    8,134.10x = 56,471,019.36
  5. Step 5: Solve for x
    x = 56,471,019.36/8,134.10
  6. Step 6: Final answer
    x = 6,942.50

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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.