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Finding the Fourth Proportional to 7,716.89, 11,571.33 and 3,768.32

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Solution

The fourth proportional to 7,716.89, 11,571.33 and 3,768.32 is: 5,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.89 : 11,571.33 = 3,768.32 : x
  2. Step 2: Convert to fraction form
    7,716.89/11,571.33 = 3,768.32/x
  3. Step 3: Cross multiply
    7,716.89x = 11,571.33 × 3,768.32
  4. Step 4: Simplify right side
    7,716.89x = 43,604,503.19
  5. Step 5: Solve for x
    x = 43,604,503.19/7,716.89
  6. Step 6: Final answer
    x = 5,650.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.