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Finding the Fourth Proportional to 7,847.48, 11,769.50 and 2,301.21

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Solution

The fourth proportional to 7,847.48, 11,769.50 and 2,301.21 is: 3,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.48 : 11,769.50 = 2,301.21 : x
  2. Step 2: Convert to fraction form
    7,847.48/11,769.50 = 2,301.21/x
  3. Step 3: Cross multiply
    7,847.48x = 11,769.50 × 2,301.21
  4. Step 4: Simplify right side
    7,847.48x = 27,084,096.85
  5. Step 5: Solve for x
    x = 27,084,096.85/7,847.48
  6. Step 6: Final answer
    x = 3,451.31

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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.