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Finding the Fourth Proportional to 10,874.67, 16,312.26 and 6,161.01

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Solution

The fourth proportional to 10,874.67, 16,312.26 and 6,161.01 is: 9,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.67 : 16,312.26 = 6,161.01 : x
  2. Step 2: Convert to fraction form
    10,874.67/16,312.26 = 6,161.01/x
  3. Step 3: Cross multiply
    10,874.67x = 16,312.26 × 6,161.01
  4. Step 4: Simplify right side
    10,874.67x = 100,499,996.98
  5. Step 5: Solve for x
    x = 100,499,996.98/10,874.67
  6. Step 6: Final answer
    x = 9,241.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.