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Finding the Fourth Proportional to 11,892.96, 16,408.31 and 6,855.44

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Solution

The fourth proportional to 11,892.96, 16,408.31 and 6,855.44 is: 9,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.96 : 16,408.31 = 6,855.44 : x
  2. Step 2: Convert to fraction form
    11,892.96/16,408.31 = 6,855.44/x
  3. Step 3: Cross multiply
    11,892.96x = 16,408.31 × 6,855.44
  4. Step 4: Simplify right side
    11,892.96x = 112,486,068.39
  5. Step 5: Solve for x
    x = 112,486,068.39/11,892.96
  6. Step 6: Final answer
    x = 9,458.21

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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.