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Finding the Fourth Proportional to 11,768.67, 17,653.50 and 3,003.84

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Solution

The fourth proportional to 11,768.67, 17,653.50 and 3,003.84 is: 4,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.67 : 17,653.50 = 3,003.84 : x
  2. Step 2: Convert to fraction form
    11,768.67/17,653.50 = 3,003.84/x
  3. Step 3: Cross multiply
    11,768.67x = 17,653.50 × 3,003.84
  4. Step 4: Simplify right side
    11,768.67x = 53,028,289.44
  5. Step 5: Solve for x
    x = 53,028,289.44/11,768.67
  6. Step 6: Final answer
    x = 4,505.89

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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.