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Finding the Fourth Proportional to 8,149.74, 11,247.03 and 4,614.06

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Solution

The fourth proportional to 8,149.74, 11,247.03 and 4,614.06 is: 6,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.74 : 11,247.03 = 4,614.06 : x
  2. Step 2: Convert to fraction form
    8,149.74/11,247.03 = 4,614.06/x
  3. Step 3: Cross multiply
    8,149.74x = 11,247.03 × 4,614.06
  4. Step 4: Simplify right side
    8,149.74x = 51,894,471.24
  5. Step 5: Solve for x
    x = 51,894,471.24/8,149.74
  6. Step 6: Final answer
    x = 6,367.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.