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Finding the Fourth Proportional to 6,162.57, 8,499.38 and 3,923.73

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Solution

The fourth proportional to 6,162.57, 8,499.38 and 3,923.73 is: 5,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.57 : 8,499.38 = 3,923.73 : x
  2. Step 2: Convert to fraction form
    6,162.57/8,499.38 = 3,923.73/x
  3. Step 3: Cross multiply
    6,162.57x = 8,499.38 × 3,923.73
  4. Step 4: Simplify right side
    6,162.57x = 33,349,252.67
  5. Step 5: Solve for x
    x = 33,349,252.67/6,162.57
  6. Step 6: Final answer
    x = 5,411.58

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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.