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Finding the Fourth Proportional to 11,772.58, 16,246.23 and 6,467.26

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Solution

The fourth proportional to 11,772.58, 16,246.23 and 6,467.26 is: 8,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.58 : 16,246.23 = 6,467.26 : x
  2. Step 2: Convert to fraction form
    11,772.58/16,246.23 = 6,467.26/x
  3. Step 3: Cross multiply
    11,772.58x = 16,246.23 × 6,467.26
  4. Step 4: Simplify right side
    11,772.58x = 105,068,593.43
  5. Step 5: Solve for x
    x = 105,068,593.43/11,772.58
  6. Step 6: Final answer
    x = 8,924.86

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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.