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Finding the Fourth Proportional to 8,822.90, 12,175.79 and 5,046.41

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Solution

The fourth proportional to 8,822.90, 12,175.79 and 5,046.41 is: 6,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.90 : 12,175.79 = 5,046.41 : x
  2. Step 2: Convert to fraction form
    8,822.90/12,175.79 = 5,046.41/x
  3. Step 3: Cross multiply
    8,822.90x = 12,175.79 × 5,046.41
  4. Step 4: Simplify right side
    8,822.90x = 61,443,942.30
  5. Step 5: Solve for x
    x = 61,443,942.30/8,822.90
  6. Step 6: Final answer
    x = 6,964.15

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Why These Related Problems?

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