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Finding the Fourth Proportional to 8,146.39, 12,211.79 and 2,596.68

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Solution

The fourth proportional to 8,146.39, 12,211.79 and 2,596.68 is: 3,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.39 : 12,211.79 = 2,596.68 : x
  2. Step 2: Convert to fraction form
    8,146.39/12,211.79 = 2,596.68/x
  3. Step 3: Cross multiply
    8,146.39x = 12,211.79 × 2,596.68
  4. Step 4: Simplify right side
    8,146.39x = 31,710,110.86
  5. Step 5: Solve for x
    x = 31,710,110.86/8,146.39
  6. Step 6: Final answer
    x = 3,892.54

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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.