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Finding the Fourth Proportional to 6,892.32, 10,337.76 and 2,731.44

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Solution

The fourth proportional to 6,892.32, 10,337.76 and 2,731.44 is: 4,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.32 : 10,337.76 = 2,731.44 : x
  2. Step 2: Convert to fraction form
    6,892.32/10,337.76 = 2,731.44/x
  3. Step 3: Cross multiply
    6,892.32x = 10,337.76 × 2,731.44
  4. Step 4: Simplify right side
    6,892.32x = 28,236,971.17
  5. Step 5: Solve for x
    x = 28,236,971.17/6,892.32
  6. Step 6: Final answer
    x = 4,096.87

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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.