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Finding the Fourth Proportional to 8,076.32, 12,112.14 and 3,144.86

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Solution

The fourth proportional to 8,076.32, 12,112.14 and 3,144.86 is: 4,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.32 : 12,112.14 = 3,144.86 : x
  2. Step 2: Convert to fraction form
    8,076.32/12,112.14 = 3,144.86/x
  3. Step 3: Cross multiply
    8,076.32x = 12,112.14 × 3,144.86
  4. Step 4: Simplify right side
    8,076.32x = 38,091,026.67
  5. Step 5: Solve for x
    x = 38,091,026.67/8,076.32
  6. Step 6: Final answer
    x = 4,716.38

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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.