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Finding the Fourth Proportional to 10,771.04, 16,162.92 and 5,840.56

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Solution

The fourth proportional to 10,771.04, 16,162.92 and 5,840.56 is: 8,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.04 : 16,162.92 = 5,840.56 : x
  2. Step 2: Convert to fraction form
    10,771.04/16,162.92 = 5,840.56/x
  3. Step 3: Cross multiply
    10,771.04x = 16,162.92 × 5,840.56
  4. Step 4: Simplify right side
    10,771.04x = 94,400,504.04
  5. Step 5: Solve for x
    x = 94,400,504.04/10,771.04
  6. Step 6: Final answer
    x = 8,764.29

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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.