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Finding the Fourth Proportional to 7,832.49, 10,809.33 and 5,175.24

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Solution

The fourth proportional to 7,832.49, 10,809.33 and 5,175.24 is: 7,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.49 : 10,809.33 = 5,175.24 : x
  2. Step 2: Convert to fraction form
    7,832.49/10,809.33 = 5,175.24/x
  3. Step 3: Cross multiply
    7,832.49x = 10,809.33 × 5,175.24
  4. Step 4: Simplify right side
    7,832.49x = 55,940,876.99
  5. Step 5: Solve for x
    x = 55,940,876.99/7,832.49
  6. Step 6: Final answer
    x = 7,142.16

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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.