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Finding the Fourth Proportional to 8,822.28, 12,174.90 and 4,843.77

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Solution

The fourth proportional to 8,822.28, 12,174.90 and 4,843.77 is: 6,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.28 : 12,174.90 = 4,843.77 : x
  2. Step 2: Convert to fraction form
    8,822.28/12,174.90 = 4,843.77/x
  3. Step 3: Cross multiply
    8,822.28x = 12,174.90 × 4,843.77
  4. Step 4: Simplify right side
    8,822.28x = 58,972,415.37
  5. Step 5: Solve for x
    x = 58,972,415.37/8,822.28
  6. Step 6: Final answer
    x = 6,684.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.