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Finding the Fourth Proportional to 8,083.86, 12,125.78 and 2,537.70

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Solution

The fourth proportional to 8,083.86, 12,125.78 and 2,537.70 is: 3,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.86 : 12,125.78 = 2,537.70 : x
  2. Step 2: Convert to fraction form
    8,083.86/12,125.78 = 2,537.70/x
  3. Step 3: Cross multiply
    8,083.86x = 12,125.78 × 2,537.70
  4. Step 4: Simplify right side
    8,083.86x = 30,771,591.91
  5. Step 5: Solve for x
    x = 30,771,591.91/8,083.86
  6. Step 6: Final answer
    x = 3,806.55

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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.