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Finding the Fourth Proportional to 6,099.24, 8,398.20 and 5,200.99

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Solution

The fourth proportional to 6,099.24, 8,398.20 and 5,200.99 is: 7,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.24 : 8,398.20 = 5,200.99 : x
  2. Step 2: Convert to fraction form
    6,099.24/8,398.20 = 5,200.99/x
  3. Step 3: Cross multiply
    6,099.24x = 8,398.20 × 5,200.99
  4. Step 4: Simplify right side
    6,099.24x = 43,678,954.22
  5. Step 5: Solve for x
    x = 43,678,954.22/6,099.24
  6. Step 6: Final answer
    x = 7,161.38

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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.