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Finding the Fourth Proportional to 6,724.96, 10,096.80 and 3,440.32

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Solution

The fourth proportional to 6,724.96, 10,096.80 and 3,440.32 is: 5,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.96 : 10,096.80 = 3,440.32 : x
  2. Step 2: Convert to fraction form
    6,724.96/10,096.80 = 3,440.32/x
  3. Step 3: Cross multiply
    6,724.96x = 10,096.80 × 3,440.32
  4. Step 4: Simplify right side
    6,724.96x = 34,736,222.98
  5. Step 5: Solve for x
    x = 34,736,222.98/6,724.96
  6. Step 6: Final answer
    x = 5,165.27

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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.