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Finding the Fourth Proportional to 7,441.92, 11,207.44 and 6,777.62

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Solution

The fourth proportional to 7,441.92, 11,207.44 and 6,777.62 is: 10,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.92 : 11,207.44 = 6,777.62 : x
  2. Step 2: Convert to fraction form
    7,441.92/11,207.44 = 6,777.62/x
  3. Step 3: Cross multiply
    7,441.92x = 11,207.44 × 6,777.62
  4. Step 4: Simplify right side
    7,441.92x = 75,959,769.49
  5. Step 5: Solve for x
    x = 75,959,769.49/7,441.92
  6. Step 6: Final answer
    x = 10,207.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.