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Finding the Fourth Proportional to 7,832.40, 10,809.28 and 5,175.20

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Solution

The fourth proportional to 7,832.40, 10,809.28 and 5,175.20 is: 7,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.40 : 10,809.28 = 5,175.20 : x
  2. Step 2: Convert to fraction form
    7,832.40/10,809.28 = 5,175.20/x
  3. Step 3: Cross multiply
    7,832.40x = 10,809.28 × 5,175.20
  4. Step 4: Simplify right side
    7,832.40x = 55,940,185.86
  5. Step 5: Solve for x
    x = 55,940,185.86/7,832.40
  6. Step 6: Final answer
    x = 7,142.15

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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.