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Finding the Fourth Proportional to 7,744.65, 11,611.09 and 3,851.79

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Solution

The fourth proportional to 7,744.65, 11,611.09 and 3,851.79 is: 5,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.65 : 11,611.09 = 3,851.79 : x
  2. Step 2: Convert to fraction form
    7,744.65/11,611.09 = 3,851.79/x
  3. Step 3: Cross multiply
    7,744.65x = 11,611.09 × 3,851.79
  4. Step 4: Simplify right side
    7,744.65x = 44,723,480.35
  5. Step 5: Solve for x
    x = 44,723,480.35/7,744.65
  6. Step 6: Final answer
    x = 5,774.76

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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.