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Finding the Fourth Proportional to 8,204.33, 12,305.18 and 2,938.37

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Solution

The fourth proportional to 8,204.33, 12,305.18 and 2,938.37 is: 4,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.33 : 12,305.18 = 2,938.37 : x
  2. Step 2: Convert to fraction form
    8,204.33/12,305.18 = 2,938.37/x
  3. Step 3: Cross multiply
    8,204.33x = 12,305.18 × 2,938.37
  4. Step 4: Simplify right side
    8,204.33x = 36,157,095.54
  5. Step 5: Solve for x
    x = 36,157,095.54/8,204.33
  6. Step 6: Final answer
    x = 4,407.07

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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.