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Finding the Fourth Proportional to 11,677.36, 16,114.67 and 6,372.06

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Solution

The fourth proportional to 11,677.36, 16,114.67 and 6,372.06 is: 8,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.36 : 16,114.67 = 6,372.06 : x
  2. Step 2: Convert to fraction form
    11,677.36/16,114.67 = 6,372.06/x
  3. Step 3: Cross multiply
    11,677.36x = 16,114.67 × 6,372.06
  4. Step 4: Simplify right side
    11,677.36x = 102,683,644.12
  5. Step 5: Solve for x
    x = 102,683,644.12/11,677.36
  6. Step 6: Final answer
    x = 8,793.40

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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.