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Finding the Fourth Proportional to 8,083.84, 12,125.91 and 2,537.05

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Solution

The fourth proportional to 8,083.84, 12,125.91 and 2,537.05 is: 3,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.84 : 12,125.91 = 2,537.05 : x
  2. Step 2: Convert to fraction form
    8,083.84/12,125.91 = 2,537.05/x
  3. Step 3: Cross multiply
    8,083.84x = 12,125.91 × 2,537.05
  4. Step 4: Simplify right side
    8,083.84x = 30,764,039.97
  5. Step 5: Solve for x
    x = 30,764,039.97/8,083.84
  6. Step 6: Final answer
    x = 3,805.62

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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.