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Finding the Fourth Proportional to 8,112.10, 12,172.20 and 4,604.80

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Solution

The fourth proportional to 8,112.10, 12,172.20 and 4,604.80 is: 6,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.10 : 12,172.20 = 4,604.80 : x
  2. Step 2: Convert to fraction form
    8,112.10/12,172.20 = 4,604.80/x
  3. Step 3: Cross multiply
    8,112.10x = 12,172.20 × 4,604.80
  4. Step 4: Simplify right side
    8,112.10x = 56,050,546.56
  5. Step 5: Solve for x
    x = 56,050,546.56/8,112.10
  6. Step 6: Final answer
    x = 6,909.50

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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.