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Finding the Fourth Proportional to 8,647.80, 12,972.78 and 3,100.20

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Solution

The fourth proportional to 8,647.80, 12,972.78 and 3,100.20 is: 4,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.80 : 12,972.78 = 3,100.20 : x
  2. Step 2: Convert to fraction form
    8,647.80/12,972.78 = 3,100.20/x
  3. Step 3: Cross multiply
    8,647.80x = 12,972.78 × 3,100.20
  4. Step 4: Simplify right side
    8,647.80x = 40,218,212.56
  5. Step 5: Solve for x
    x = 40,218,212.56/8,647.80
  6. Step 6: Final answer
    x = 4,650.69

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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.