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Finding the Fourth Proportional to 8,233.40, 12,354.03 and 3,850.22

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Solution

The fourth proportional to 8,233.40, 12,354.03 and 3,850.22 is: 5,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.40 : 12,354.03 = 3,850.22 : x
  2. Step 2: Convert to fraction form
    8,233.40/12,354.03 = 3,850.22/x
  3. Step 3: Cross multiply
    8,233.40x = 12,354.03 × 3,850.22
  4. Step 4: Simplify right side
    8,233.40x = 47,565,733.39
  5. Step 5: Solve for x
    x = 47,565,733.39/8,233.40
  6. Step 6: Final answer
    x = 5,777.17

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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.