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Finding the Fourth Proportional to 8,020.35, 11,945.96 and 7,660.56

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Solution

The fourth proportional to 8,020.35, 11,945.96 and 7,660.56 is: 11,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.35 : 11,945.96 = 7,660.56 : x
  2. Step 2: Convert to fraction form
    8,020.35/11,945.96 = 7,660.56/x
  3. Step 3: Cross multiply
    8,020.35x = 11,945.96 × 7,660.56
  4. Step 4: Simplify right side
    8,020.35x = 91,512,705.03
  5. Step 5: Solve for x
    x = 91,512,705.03/8,020.35
  6. Step 6: Final answer
    x = 11,410.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.