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Finding the Fourth Proportional to 8,380.38, 12,572.37 and 2,833.45

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Solution

The fourth proportional to 8,380.38, 12,572.37 and 2,833.45 is: 4,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.38 : 12,572.37 = 2,833.45 : x
  2. Step 2: Convert to fraction form
    8,380.38/12,572.37 = 2,833.45/x
  3. Step 3: Cross multiply
    8,380.38x = 12,572.37 × 2,833.45
  4. Step 4: Simplify right side
    8,380.38x = 35,623,181.78
  5. Step 5: Solve for x
    x = 35,623,181.78/8,380.38
  6. Step 6: Final answer
    x = 4,250.78

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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.