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Finding the Fourth Proportional to 10,771.02, 16,163.82 and 5,842.26

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Solution

The fourth proportional to 10,771.02, 16,163.82 and 5,842.26 is: 8,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.02 : 16,163.82 = 5,842.26 : x
  2. Step 2: Convert to fraction form
    10,771.02/16,163.82 = 5,842.26/x
  3. Step 3: Cross multiply
    10,771.02x = 16,163.82 × 5,842.26
  4. Step 4: Simplify right side
    10,771.02x = 94,433,239.03
  5. Step 5: Solve for x
    x = 94,433,239.03/10,771.02
  6. Step 6: Final answer
    x = 8,767.34

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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.