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Finding the Fourth Proportional to 12,771.09, 19,164.06 and 5,375.07

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Solution

The fourth proportional to 12,771.09, 19,164.06 and 5,375.07 is: 8,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.09 : 19,164.06 = 5,375.07 : x
  2. Step 2: Convert to fraction form
    12,771.09/19,164.06 = 5,375.07/x
  3. Step 3: Cross multiply
    12,771.09x = 19,164.06 × 5,375.07
  4. Step 4: Simplify right side
    12,771.09x = 103,008,163.98
  5. Step 5: Solve for x
    x = 103,008,163.98/12,771.09
  6. Step 6: Final answer
    x = 8,065.73

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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.