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Finding the Fourth Proportional to 11,772.33, 16,245.79 and 6,466.96

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Solution

The fourth proportional to 11,772.33, 16,245.79 and 6,466.96 is: 8,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.33 : 16,245.79 = 6,466.96 : x
  2. Step 2: Convert to fraction form
    11,772.33/16,245.79 = 6,466.96/x
  3. Step 3: Cross multiply
    11,772.33x = 16,245.79 × 6,466.96
  4. Step 4: Simplify right side
    11,772.33x = 105,060,874.10
  5. Step 5: Solve for x
    x = 105,060,874.10/11,772.33
  6. Step 6: Final answer
    x = 8,924.39

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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.