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Finding the Fourth Proportional to 27,941.14, 41,912.79 and 7,164.64

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Solution

The fourth proportional to 27,941.14, 41,912.79 and 7,164.64 is: 10,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.14 : 41,912.79 = 7,164.64 : x
  2. Step 2: Convert to fraction form
    27,941.14/41,912.79 = 7,164.64/x
  3. Step 3: Cross multiply
    27,941.14x = 41,912.79 × 7,164.64
  4. Step 4: Simplify right side
    27,941.14x = 300,290,051.75
  5. Step 5: Solve for x
    x = 300,290,051.75/27,941.14
  6. Step 6: Final answer
    x = 10,747.24

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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.