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Finding the Fourth Proportional to 8,093.93, 12,134.34 and 3,410.91

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Solution

The fourth proportional to 8,093.93, 12,134.34 and 3,410.91 is: 5,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.93 : 12,134.34 = 3,410.91 : x
  2. Step 2: Convert to fraction form
    8,093.93/12,134.34 = 3,410.91/x
  3. Step 3: Cross multiply
    8,093.93x = 12,134.34 × 3,410.91
  4. Step 4: Simplify right side
    8,093.93x = 41,389,141.65
  5. Step 5: Solve for x
    x = 41,389,141.65/8,093.93
  6. Step 6: Final answer
    x = 5,113.61

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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.