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Finding the Fourth Proportional to 8,380.76, 12,572.49 and 2,832.83

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Solution

The fourth proportional to 8,380.76, 12,572.49 and 2,832.83 is: 4,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.76 : 12,572.49 = 2,832.83 : x
  2. Step 2: Convert to fraction form
    8,380.76/12,572.49 = 2,832.83/x
  3. Step 3: Cross multiply
    8,380.76x = 12,572.49 × 2,832.83
  4. Step 4: Simplify right side
    8,380.76x = 35,615,663.98
  5. Step 5: Solve for x
    x = 35,615,663.98/8,380.76
  6. Step 6: Final answer
    x = 4,249.70

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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.