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Finding the Fourth Proportional to 8,379.56, 12,569.38 and 2,832.96

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Solution

The fourth proportional to 8,379.56, 12,569.38 and 2,832.96 is: 4,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.56 : 12,569.38 = 2,832.96 : x
  2. Step 2: Convert to fraction form
    8,379.56/12,569.38 = 2,832.96/x
  3. Step 3: Cross multiply
    8,379.56x = 12,569.38 × 2,832.96
  4. Step 4: Simplify right side
    8,379.56x = 35,608,550.76
  5. Step 5: Solve for x
    x = 35,608,550.76/8,379.56
  6. Step 6: Final answer
    x = 4,249.45

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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.