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Finding the Fourth Proportional to 7,958.09, 10,976.01 and 5,832.82

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Solution

The fourth proportional to 7,958.09, 10,976.01 and 5,832.82 is: 8,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.09 : 10,976.01 = 5,832.82 : x
  2. Step 2: Convert to fraction form
    7,958.09/10,976.01 = 5,832.82/x
  3. Step 3: Cross multiply
    7,958.09x = 10,976.01 × 5,832.82
  4. Step 4: Simplify right side
    7,958.09x = 64,021,082.50
  5. Step 5: Solve for x
    x = 64,021,082.50/7,958.09
  6. Step 6: Final answer
    x = 8,044.78

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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.