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Finding the Fourth Proportional to 8,076.86, 12,115.38 and 2,153.71

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Solution

The fourth proportional to 8,076.86, 12,115.38 and 2,153.71 is: 3,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.86 : 12,115.38 = 2,153.71 : x
  2. Step 2: Convert to fraction form
    8,076.86/12,115.38 = 2,153.71/x
  3. Step 3: Cross multiply
    8,076.86x = 12,115.38 × 2,153.71
  4. Step 4: Simplify right side
    8,076.86x = 26,093,015.06
  5. Step 5: Solve for x
    x = 26,093,015.06/8,076.86
  6. Step 6: Final answer
    x = 3,230.59

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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.