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Finding the Fourth Proportional to 8,164.50, 12,246.81 and 2,008.50

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Solution

The fourth proportional to 8,164.50, 12,246.81 and 2,008.50 is: 3,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.50 : 12,246.81 = 2,008.50 : x
  2. Step 2: Convert to fraction form
    8,164.50/12,246.81 = 2,008.50/x
  3. Step 3: Cross multiply
    8,164.50x = 12,246.81 × 2,008.50
  4. Step 4: Simplify right side
    8,164.50x = 24,597,717.89
  5. Step 5: Solve for x
    x = 24,597,717.89/8,164.50
  6. Step 6: Final answer
    x = 3,012.76

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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.