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Finding the Fourth Proportional to 8,379.86, 12,570.38 and 2,536.91

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Solution

The fourth proportional to 8,379.86, 12,570.38 and 2,536.91 is: 3,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.86 : 12,570.38 = 2,536.91 : x
  2. Step 2: Convert to fraction form
    8,379.86/12,570.38 = 2,536.91/x
  3. Step 3: Cross multiply
    8,379.86x = 12,570.38 × 2,536.91
  4. Step 4: Simplify right side
    8,379.86x = 31,889,922.73
  5. Step 5: Solve for x
    x = 31,889,922.73/8,379.86
  6. Step 6: Final answer
    x = 3,805.54

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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.