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Finding the Fourth Proportional to 7,266.25, 10,903.31 and 5,626

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Solution

The fourth proportional to 7,266.25, 10,903.31 and 5,626 is: 8,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.25 : 10,903.31 = 5,626 : x
  2. Step 2: Convert to fraction form
    7,266.25/10,903.31 = 5,626/x
  3. Step 3: Cross multiply
    7,266.25x = 10,903.31 × 5,626
  4. Step 4: Simplify right side
    7,266.25x = 61,342,022.06
  5. Step 5: Solve for x
    x = 61,342,022.06/7,266.25
  6. Step 6: Final answer
    x = 8,442.05

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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.