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Finding the Fourth Proportional to 7,855.29, 10,832.27 and 5,201.73

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Solution

The fourth proportional to 7,855.29, 10,832.27 and 5,201.73 is: 7,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.29 : 10,832.27 = 5,201.73 : x
  2. Step 2: Convert to fraction form
    7,855.29/10,832.27 = 5,201.73/x
  3. Step 3: Cross multiply
    7,855.29x = 10,832.27 × 5,201.73
  4. Step 4: Simplify right side
    7,855.29x = 56,346,517.82
  5. Step 5: Solve for x
    x = 56,346,517.82/7,855.29
  6. Step 6: Final answer
    x = 7,173.07

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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.