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Finding the Fourth Proportional to 8,096.52, 12,144.78 and 2,899.56

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Solution

The fourth proportional to 8,096.52, 12,144.78 and 2,899.56 is: 4,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.52 : 12,144.78 = 2,899.56 : x
  2. Step 2: Convert to fraction form
    8,096.52/12,144.78 = 2,899.56/x
  3. Step 3: Cross multiply
    8,096.52x = 12,144.78 × 2,899.56
  4. Step 4: Simplify right side
    8,096.52x = 35,214,518.30
  5. Step 5: Solve for x
    x = 35,214,518.30/8,096.52
  6. Step 6: Final answer
    x = 4,349.34

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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.