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Finding the Fourth Proportional to 7,781.30, 11,662.22 and 3,096.26

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Solution

The fourth proportional to 7,781.30, 11,662.22 and 3,096.26 is: 4,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.30 : 11,662.22 = 3,096.26 : x
  2. Step 2: Convert to fraction form
    7,781.30/11,662.22 = 3,096.26/x
  3. Step 3: Cross multiply
    7,781.30x = 11,662.22 × 3,096.26
  4. Step 4: Simplify right side
    7,781.30x = 36,109,265.30
  5. Step 5: Solve for x
    x = 36,109,265.30/7,781.30
  6. Step 6: Final answer
    x = 4,640.52

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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.