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Finding the Fourth Proportional to 8,151.68, 11,249.22 and 4,614.80

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Solution

The fourth proportional to 8,151.68, 11,249.22 and 4,614.80 is: 6,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.68 : 11,249.22 = 4,614.80 : x
  2. Step 2: Convert to fraction form
    8,151.68/11,249.22 = 4,614.80/x
  3. Step 3: Cross multiply
    8,151.68x = 11,249.22 × 4,614.80
  4. Step 4: Simplify right side
    8,151.68x = 51,912,900.46
  5. Step 5: Solve for x
    x = 51,912,900.46/8,151.68
  6. Step 6: Final answer
    x = 6,368.37

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Why These Related Problems?

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