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Finding the Fourth Proportional to 7,266.90, 10,905.14 and 3,982.29

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Solution

The fourth proportional to 7,266.90, 10,905.14 and 3,982.29 is: 5,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.90 : 10,905.14 = 3,982.29 : x
  2. Step 2: Convert to fraction form
    7,266.90/10,905.14 = 3,982.29/x
  3. Step 3: Cross multiply
    7,266.90x = 10,905.14 × 3,982.29
  4. Step 4: Simplify right side
    7,266.90x = 43,427,410.06
  5. Step 5: Solve for x
    x = 43,427,410.06/7,266.90
  6. Step 6: Final answer
    x = 5,976.06

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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.