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Finding the Fourth Proportional to 7,940.60, 11,911.01 and 5,474.76

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Solution

The fourth proportional to 7,940.60, 11,911.01 and 5,474.76 is: 8,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.60 : 11,911.01 = 5,474.76 : x
  2. Step 2: Convert to fraction form
    7,940.60/11,911.01 = 5,474.76/x
  3. Step 3: Cross multiply
    7,940.60x = 11,911.01 × 5,474.76
  4. Step 4: Simplify right side
    7,940.60x = 65,209,921.11
  5. Step 5: Solve for x
    x = 65,209,921.11/7,940.60
  6. Step 6: Final answer
    x = 8,212.22

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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.