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Finding the Fourth Proportional to 8,083.42, 12,128.09 and 3,404.61

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Solution

The fourth proportional to 8,083.42, 12,128.09 and 3,404.61 is: 5,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.42 : 12,128.09 = 3,404.61 : x
  2. Step 2: Convert to fraction form
    8,083.42/12,128.09 = 3,404.61/x
  3. Step 3: Cross multiply
    8,083.42x = 12,128.09 × 3,404.61
  4. Step 4: Simplify right side
    8,083.42x = 41,291,338.83
  5. Step 5: Solve for x
    x = 41,291,338.83/8,083.42
  6. Step 6: Final answer
    x = 5,108.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.