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Finding the Fourth Proportional to 7,768.44, 11,645.66 and 2,834.64

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Solution

The fourth proportional to 7,768.44, 11,645.66 and 2,834.64 is: 4,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.44 : 11,645.66 = 2,834.64 : x
  2. Step 2: Convert to fraction form
    7,768.44/11,645.66 = 2,834.64/x
  3. Step 3: Cross multiply
    7,768.44x = 11,645.66 × 2,834.64
  4. Step 4: Simplify right side
    7,768.44x = 33,011,253.66
  5. Step 5: Solve for x
    x = 33,011,253.66/7,768.44
  6. Step 6: Final answer
    x = 4,249.41

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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.