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Finding the Fourth Proportional to 7,837.26, 10,813.41 and 4,691.22

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Solution

The fourth proportional to 7,837.26, 10,813.41 and 4,691.22 is: 6,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.26 : 10,813.41 = 4,691.22 : x
  2. Step 2: Convert to fraction form
    7,837.26/10,813.41 = 4,691.22/x
  3. Step 3: Cross multiply
    7,837.26x = 10,813.41 × 4,691.22
  4. Step 4: Simplify right side
    7,837.26x = 50,728,085.26
  5. Step 5: Solve for x
    x = 50,728,085.26/7,837.26
  6. Step 6: Final answer
    x = 6,472.68

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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.