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Finding the Fourth Proportional to 7,906.32, 11,861.53 and 2,976

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Solution

The fourth proportional to 7,906.32, 11,861.53 and 2,976 is: 4,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.32 : 11,861.53 = 2,976 : x
  2. Step 2: Convert to fraction form
    7,906.32/11,861.53 = 2,976/x
  3. Step 3: Cross multiply
    7,906.32x = 11,861.53 × 2,976
  4. Step 4: Simplify right side
    7,906.32x = 35,299,913.28
  5. Step 5: Solve for x
    x = 35,299,913.28/7,906.32
  6. Step 6: Final answer
    x = 4,464.77

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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.