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Finding the Fourth Proportional to 6,832.64, 10,248.96 and 5,274.92

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Solution

The fourth proportional to 6,832.64, 10,248.96 and 5,274.92 is: 7,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.64 : 10,248.96 = 5,274.92 : x
  2. Step 2: Convert to fraction form
    6,832.64/10,248.96 = 5,274.92/x
  3. Step 3: Cross multiply
    6,832.64x = 10,248.96 × 5,274.92
  4. Step 4: Simplify right side
    6,832.64x = 54,062,402.16
  5. Step 5: Solve for x
    x = 54,062,402.16/6,832.64
  6. Step 6: Final answer
    x = 7,912.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.