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Finding the Fourth Proportional to 8,083.49, 12,125.10 and 3,922.79

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Solution

The fourth proportional to 8,083.49, 12,125.10 and 3,922.79 is: 5,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.49 : 12,125.10 = 3,922.79 : x
  2. Step 2: Convert to fraction form
    8,083.49/12,125.10 = 3,922.79/x
  3. Step 3: Cross multiply
    8,083.49x = 12,125.10 × 3,922.79
  4. Step 4: Simplify right side
    8,083.49x = 47,564,221.03
  5. Step 5: Solve for x
    x = 47,564,221.03/8,083.49
  6. Step 6: Final answer
    x = 5,884.12

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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.