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Finding the Fourth Proportional to 8,177.89, 12,270.35 and 3,796.33

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Solution

The fourth proportional to 8,177.89, 12,270.35 and 3,796.33 is: 5,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.89 : 12,270.35 = 3,796.33 : x
  2. Step 2: Convert to fraction form
    8,177.89/12,270.35 = 3,796.33/x
  3. Step 3: Cross multiply
    8,177.89x = 12,270.35 × 3,796.33
  4. Step 4: Simplify right side
    8,177.89x = 46,582,297.82
  5. Step 5: Solve for x
    x = 46,582,297.82/8,177.89
  6. Step 6: Final answer
    x = 5,696.13

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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.