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Finding the Fourth Proportional to 7,727.26, 11,491.47 and 7,481.22

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Solution

The fourth proportional to 7,727.26, 11,491.47 and 7,481.22 is: 11,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.26 : 11,491.47 = 7,481.22 : x
  2. Step 2: Convert to fraction form
    7,727.26/11,491.47 = 7,481.22/x
  3. Step 3: Cross multiply
    7,727.26x = 11,491.47 × 7,481.22
  4. Step 4: Simplify right side
    7,727.26x = 85,970,215.19
  5. Step 5: Solve for x
    x = 85,970,215.19/7,727.26
  6. Step 6: Final answer
    x = 11,125.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.