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Finding the Fourth Proportional to 7,832.30, 10,808.97 and 4,295.84

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Solution

The fourth proportional to 7,832.30, 10,808.97 and 4,295.84 is: 5,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.30 : 10,808.97 = 4,295.84 : x
  2. Step 2: Convert to fraction form
    7,832.30/10,808.97 = 4,295.84/x
  3. Step 3: Cross multiply
    7,832.30x = 10,808.97 × 4,295.84
  4. Step 4: Simplify right side
    7,832.30x = 46,433,605.68
  5. Step 5: Solve for x
    x = 46,433,605.68/7,832.30
  6. Step 6: Final answer
    x = 5,928.48

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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.