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Finding the Fourth Proportional to 11,772.61, 16,245.82 and 6,467.09

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Solution

The fourth proportional to 11,772.61, 16,245.82 and 6,467.09 is: 8,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.61 : 16,245.82 = 6,467.09 : x
  2. Step 2: Convert to fraction form
    11,772.61/16,245.82 = 6,467.09/x
  3. Step 3: Cross multiply
    11,772.61x = 16,245.82 × 6,467.09
  4. Step 4: Simplify right side
    11,772.61x = 105,063,161.92
  5. Step 5: Solve for x
    x = 105,063,161.92/11,772.61
  6. Step 6: Final answer
    x = 8,924.37

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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.