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Finding the Fourth Proportional to 8,822.39, 12,174.77 and 5,046.17

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Solution

The fourth proportional to 8,822.39, 12,174.77 and 5,046.17 is: 6,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.39 : 12,174.77 = 5,046.17 : x
  2. Step 2: Convert to fraction form
    8,822.39/12,174.77 = 5,046.17/x
  3. Step 3: Cross multiply
    8,822.39x = 12,174.77 × 5,046.17
  4. Step 4: Simplify right side
    8,822.39x = 61,435,910.87
  5. Step 5: Solve for x
    x = 61,435,910.87/8,822.39
  6. Step 6: Final answer
    x = 6,963.64

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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.