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Finding the Fourth Proportional to 8,076.20, 12,114.99 and 2,232.86

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Solution

The fourth proportional to 8,076.20, 12,114.99 and 2,232.86 is: 3,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.20 : 12,114.99 = 2,232.86 : x
  2. Step 2: Convert to fraction form
    8,076.20/12,114.99 = 2,232.86/x
  3. Step 3: Cross multiply
    8,076.20x = 12,114.99 × 2,232.86
  4. Step 4: Simplify right side
    8,076.20x = 27,051,016.00
  5. Step 5: Solve for x
    x = 27,051,016.00/8,076.20
  6. Step 6: Final answer
    x = 3,349.48

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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.