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Finding the Fourth Proportional to 8,383.41, 12,588.17 and 7,226.42

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Solution

The fourth proportional to 8,383.41, 12,588.17 and 7,226.42 is: 10,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.41 : 12,588.17 = 7,226.42 : x
  2. Step 2: Convert to fraction form
    8,383.41/12,588.17 = 7,226.42/x
  3. Step 3: Cross multiply
    8,383.41x = 12,588.17 × 7,226.42
  4. Step 4: Simplify right side
    8,383.41x = 90,967,304.38
  5. Step 5: Solve for x
    x = 90,967,304.38/8,383.41
  6. Step 6: Final answer
    x = 10,850.87

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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.