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Finding the Fourth Proportional to 8,083.75, 12,124.81 and 2,537.14

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Solution

The fourth proportional to 8,083.75, 12,124.81 and 2,537.14 is: 3,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.75 : 12,124.81 = 2,537.14 : x
  2. Step 2: Convert to fraction form
    8,083.75/12,124.81 = 2,537.14/x
  3. Step 3: Cross multiply
    8,083.75x = 12,124.81 × 2,537.14
  4. Step 4: Simplify right side
    8,083.75x = 30,762,340.44
  5. Step 5: Solve for x
    x = 30,762,340.44/8,083.75
  6. Step 6: Final answer
    x = 3,805.45

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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.