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Finding the Fourth Proportional to 11,714.22, 16,165.48 and 6,408.96

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Solution

The fourth proportional to 11,714.22, 16,165.48 and 6,408.96 is: 8,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.22 : 16,165.48 = 6,408.96 : x
  2. Step 2: Convert to fraction form
    11,714.22/16,165.48 = 6,408.96/x
  3. Step 3: Cross multiply
    11,714.22x = 16,165.48 × 6,408.96
  4. Step 4: Simplify right side
    11,714.22x = 103,603,914.70
  5. Step 5: Solve for x
    x = 103,603,914.70/11,714.22
  6. Step 6: Final answer
    x = 8,844.29

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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.