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Finding the Fourth Proportional to 7,945.20, 11,914.20 and 3,013.20

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Solution

The fourth proportional to 7,945.20, 11,914.20 and 3,013.20 is: 4,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.20 : 11,914.20 = 3,013.20 : x
  2. Step 2: Convert to fraction form
    7,945.20/11,914.20 = 3,013.20/x
  3. Step 3: Cross multiply
    7,945.20x = 11,914.20 × 3,013.20
  4. Step 4: Simplify right side
    7,945.20x = 35,899,867.44
  5. Step 5: Solve for x
    x = 35,899,867.44/7,945.20
  6. Step 6: Final answer
    x = 4,518.43

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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.