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Finding the Fourth Proportional to 8,076.70, 12,115.05 and 2,232.82

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Solution

The fourth proportional to 8,076.70, 12,115.05 and 2,232.82 is: 3,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.70 : 12,115.05 = 2,232.82 : x
  2. Step 2: Convert to fraction form
    8,076.70/12,115.05 = 2,232.82/x
  3. Step 3: Cross multiply
    8,076.70x = 12,115.05 × 2,232.82
  4. Step 4: Simplify right side
    8,076.70x = 27,050,725.94
  5. Step 5: Solve for x
    x = 27,050,725.94/8,076.70
  6. Step 6: Final answer
    x = 3,349.23

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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.