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Finding the Fourth Proportional to 8,133.43, 12,201.06 and 3,202.42

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Solution

The fourth proportional to 8,133.43, 12,201.06 and 3,202.42 is: 4,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.43 : 12,201.06 = 3,202.42 : x
  2. Step 2: Convert to fraction form
    8,133.43/12,201.06 = 3,202.42/x
  3. Step 3: Cross multiply
    8,133.43x = 12,201.06 × 3,202.42
  4. Step 4: Simplify right side
    8,133.43x = 39,072,918.57
  5. Step 5: Solve for x
    x = 39,072,918.57/8,133.43
  6. Step 6: Final answer
    x = 4,803.99

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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.