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Finding the Fourth Proportional to 11,677.51, 16,114.83 and 6,372.42

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Solution

The fourth proportional to 11,677.51, 16,114.83 and 6,372.42 is: 8,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.51 : 16,114.83 = 6,372.42 : x
  2. Step 2: Convert to fraction form
    11,677.51/16,114.83 = 6,372.42/x
  3. Step 3: Cross multiply
    11,677.51x = 16,114.83 × 6,372.42
  4. Step 4: Simplify right side
    11,677.51x = 102,690,464.99
  5. Step 5: Solve for x
    x = 102,690,464.99/11,677.51
  6. Step 6: Final answer
    x = 8,793.87

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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.