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Finding the Fourth Proportional to 11,638.06, 16,060.87 and 6,333.22

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Solution

The fourth proportional to 11,638.06, 16,060.87 and 6,333.22 is: 8,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.06 : 16,060.87 = 6,333.22 : x
  2. Step 2: Convert to fraction form
    11,638.06/16,060.87 = 6,333.22/x
  3. Step 3: Cross multiply
    11,638.06x = 16,060.87 × 6,333.22
  4. Step 4: Simplify right side
    11,638.06x = 101,717,015.47
  5. Step 5: Solve for x
    x = 101,717,015.47/11,638.06
  6. Step 6: Final answer
    x = 8,740.03

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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.