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Finding the Fourth Proportional to 8,134.72, 12,204.81 and 3,454.54

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Solution

The fourth proportional to 8,134.72, 12,204.81 and 3,454.54 is: 5,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.72 : 12,204.81 = 3,454.54 : x
  2. Step 2: Convert to fraction form
    8,134.72/12,204.81 = 3,454.54/x
  3. Step 3: Cross multiply
    8,134.72x = 12,204.81 × 3,454.54
  4. Step 4: Simplify right side
    8,134.72x = 42,162,004.34
  5. Step 5: Solve for x
    x = 42,162,004.34/8,134.72
  6. Step 6: Final answer
    x = 5,182.97

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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.