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Finding the Fourth Proportional to 11,714.62, 16,164.39 and 6,679.09

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Solution

The fourth proportional to 11,714.62, 16,164.39 and 6,679.09 is: 9,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.62 : 16,164.39 = 6,679.09 : x
  2. Step 2: Convert to fraction form
    11,714.62/16,164.39 = 6,679.09/x
  3. Step 3: Cross multiply
    11,714.62x = 16,164.39 × 6,679.09
  4. Step 4: Simplify right side
    11,714.62x = 107,963,415.61
  5. Step 5: Solve for x
    x = 107,963,415.61/11,714.62
  6. Step 6: Final answer
    x = 9,216.13

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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.