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Finding the Fourth Proportional to 7,859.81, 11,774.73 and 4,049.57

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Solution

The fourth proportional to 7,859.81, 11,774.73 and 4,049.57 is: 6,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.81 : 11,774.73 = 4,049.57 : x
  2. Step 2: Convert to fraction form
    7,859.81/11,774.73 = 4,049.57/x
  3. Step 3: Cross multiply
    7,859.81x = 11,774.73 × 4,049.57
  4. Step 4: Simplify right side
    7,859.81x = 47,682,593.37
  5. Step 5: Solve for x
    x = 47,682,593.37/7,859.81
  6. Step 6: Final answer
    x = 6,066.63

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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.