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Finding the Fourth Proportional to 11,837.49, 16,344 and 7,363.26

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Solution

The fourth proportional to 11,837.49, 16,344 and 7,363.26 is: 10,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.49 : 16,344 = 7,363.26 : x
  2. Step 2: Convert to fraction form
    11,837.49/16,344 = 7,363.26/x
  3. Step 3: Cross multiply
    11,837.49x = 16,344 × 7,363.26
  4. Step 4: Simplify right side
    11,837.49x = 120,345,039.72
  5. Step 5: Solve for x
    x = 120,345,039.72/11,837.49
  6. Step 6: Final answer
    x = 10,166.43

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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.