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Finding the Fourth Proportional to 8,078.26, 11,153.44 and 7,224.86

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Solution

The fourth proportional to 8,078.26, 11,153.44 and 7,224.86 is: 9,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.26 : 11,153.44 = 7,224.86 : x
  2. Step 2: Convert to fraction form
    8,078.26/11,153.44 = 7,224.86/x
  3. Step 3: Cross multiply
    8,078.26x = 11,153.44 × 7,224.86
  4. Step 4: Simplify right side
    8,078.26x = 80,582,042.52
  5. Step 5: Solve for x
    x = 80,582,042.52/8,078.26
  6. Step 6: Final answer
    x = 9,975.17

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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.