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Finding the Fourth Proportional to 8,440.74, 12,659.96 and 2,596.86

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Solution

The fourth proportional to 8,440.74, 12,659.96 and 2,596.86 is: 3,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.74 : 12,659.96 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    8,440.74/12,659.96 = 2,596.86/x
  3. Step 3: Cross multiply
    8,440.74x = 12,659.96 × 2,596.86
  4. Step 4: Simplify right side
    8,440.74x = 32,876,143.73
  5. Step 5: Solve for x
    x = 32,876,143.73/8,440.74
  6. Step 6: Final answer
    x = 3,894.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.