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Finding the Fourth Proportional to 8,172.33, 12,254.37 and 3,792.86

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Solution

The fourth proportional to 8,172.33, 12,254.37 and 3,792.86 is: 5,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.33 : 12,254.37 = 3,792.86 : x
  2. Step 2: Convert to fraction form
    8,172.33/12,254.37 = 3,792.86/x
  3. Step 3: Cross multiply
    8,172.33x = 12,254.37 × 3,792.86
  4. Step 4: Simplify right side
    8,172.33x = 46,479,109.80
  5. Step 5: Solve for x
    x = 46,479,109.80/8,172.33
  6. Step 6: Final answer
    x = 5,687.38

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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.