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Finding the Fourth Proportional to 7,832.98, 10,809.27 and 4,296.14

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Solution

The fourth proportional to 7,832.98, 10,809.27 and 4,296.14 is: 5,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.98 : 10,809.27 = 4,296.14 : x
  2. Step 2: Convert to fraction form
    7,832.98/10,809.27 = 4,296.14/x
  3. Step 3: Cross multiply
    7,832.98x = 10,809.27 × 4,296.14
  4. Step 4: Simplify right side
    7,832.98x = 46,438,137.22
  5. Step 5: Solve for x
    x = 46,438,137.22/7,832.98
  6. Step 6: Final answer
    x = 5,928.54

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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.