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Finding the Fourth Proportional to 8,096.40, 12,147.52 and 2,832.20

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Solution

The fourth proportional to 8,096.40, 12,147.52 and 2,832.20 is: 4,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.40 : 12,147.52 = 2,832.20 : x
  2. Step 2: Convert to fraction form
    8,096.40/12,147.52 = 2,832.20/x
  3. Step 3: Cross multiply
    8,096.40x = 12,147.52 × 2,832.20
  4. Step 4: Simplify right side
    8,096.40x = 34,404,206.14
  5. Step 5: Solve for x
    x = 34,404,206.14/8,096.40
  6. Step 6: Final answer
    x = 4,249.32

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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.