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Finding the Fourth Proportional to 7,906.40, 11,856.40 and 2,709.60

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Solution

The fourth proportional to 7,906.40, 11,856.40 and 2,709.60 is: 4,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.40 : 11,856.40 = 2,709.60 : x
  2. Step 2: Convert to fraction form
    7,906.40/11,856.40 = 2,709.60/x
  3. Step 3: Cross multiply
    7,906.40x = 11,856.40 × 2,709.60
  4. Step 4: Simplify right side
    7,906.40x = 32,126,101.44
  5. Step 5: Solve for x
    x = 32,126,101.44/7,906.40
  6. Step 6: Final answer
    x = 4,063.30

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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.