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Finding the Fourth Proportional to 7,982.22, 11,969.22 and 4,287.55

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Solution

The fourth proportional to 7,982.22, 11,969.22 and 4,287.55 is: 6,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.22 : 11,969.22 = 4,287.55 : x
  2. Step 2: Convert to fraction form
    7,982.22/11,969.22 = 4,287.55/x
  3. Step 3: Cross multiply
    7,982.22x = 11,969.22 × 4,287.55
  4. Step 4: Simplify right side
    7,982.22x = 51,318,629.21
  5. Step 5: Solve for x
    x = 51,318,629.21/7,982.22
  6. Step 6: Final answer
    x = 6,429.12

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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.