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Finding the Fourth Proportional to 6,842.70, 10,251.45 and 3,912.30

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Solution

The fourth proportional to 6,842.70, 10,251.45 and 3,912.30 is: 5,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.70 : 10,251.45 = 3,912.30 : x
  2. Step 2: Convert to fraction form
    6,842.70/10,251.45 = 3,912.30/x
  3. Step 3: Cross multiply
    6,842.70x = 10,251.45 × 3,912.30
  4. Step 4: Simplify right side
    6,842.70x = 40,106,747.84
  5. Step 5: Solve for x
    x = 40,106,747.84/6,842.70
  6. Step 6: Final answer
    x = 5,861.25

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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.