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Finding the Fourth Proportional to 8,822.05, 13,223.72 and 4,138.11

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Solution

The fourth proportional to 8,822.05, 13,223.72 and 4,138.11 is: 6,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.05 : 13,223.72 = 4,138.11 : x
  2. Step 2: Convert to fraction form
    8,822.05/13,223.72 = 4,138.11/x
  3. Step 3: Cross multiply
    8,822.05x = 13,223.72 × 4,138.11
  4. Step 4: Simplify right side
    8,822.05x = 54,721,218.31
  5. Step 5: Solve for x
    x = 54,721,218.31/8,822.05
  6. Step 6: Final answer
    x = 6,202.78

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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.