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Finding the Fourth Proportional to 8,822.54, 12,175.33 and 4,843.65

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Solution

The fourth proportional to 8,822.54, 12,175.33 and 4,843.65 is: 6,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.54 : 12,175.33 = 4,843.65 : x
  2. Step 2: Convert to fraction form
    8,822.54/12,175.33 = 4,843.65/x
  3. Step 3: Cross multiply
    8,822.54x = 12,175.33 × 4,843.65
  4. Step 4: Simplify right side
    8,822.54x = 58,973,037.15
  5. Step 5: Solve for x
    x = 58,973,037.15/8,822.54
  6. Step 6: Final answer
    x = 6,684.36

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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.