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Finding the Fourth Proportional to 11,638.72, 16,061.79 and 6,333.22

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Solution

The fourth proportional to 11,638.72, 16,061.79 and 6,333.22 is: 8,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.72 : 16,061.79 = 6,333.22 : x
  2. Step 2: Convert to fraction form
    11,638.72/16,061.79 = 6,333.22/x
  3. Step 3: Cross multiply
    11,638.72x = 16,061.79 × 6,333.22
  4. Step 4: Simplify right side
    11,638.72x = 101,722,849.66
  5. Step 5: Solve for x
    x = 101,722,849.66/11,638.72
  6. Step 6: Final answer
    x = 8,740.04

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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.