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Finding the Fourth Proportional to 8,138.26, 11,224.64 and 5,907.52

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Solution

The fourth proportional to 8,138.26, 11,224.64 and 5,907.52 is: 8,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.26 : 11,224.64 = 5,907.52 : x
  2. Step 2: Convert to fraction form
    8,138.26/11,224.64 = 5,907.52/x
  3. Step 3: Cross multiply
    8,138.26x = 11,224.64 × 5,907.52
  4. Step 4: Simplify right side
    8,138.26x = 66,309,785.29
  5. Step 5: Solve for x
    x = 66,309,785.29/8,138.26
  6. Step 6: Final answer
    x = 8,147.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.