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Finding the Fourth Proportional to 11,768.70, 17,653.04 and 3,003.62

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Solution

The fourth proportional to 11,768.70, 17,653.04 and 3,003.62 is: 4,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.70 : 17,653.04 = 3,003.62 : x
  2. Step 2: Convert to fraction form
    11,768.70/17,653.04 = 3,003.62/x
  3. Step 3: Cross multiply
    11,768.70x = 17,653.04 × 3,003.62
  4. Step 4: Simplify right side
    11,768.70x = 53,023,048.18
  5. Step 5: Solve for x
    x = 53,023,048.18/11,768.70
  6. Step 6: Final answer
    x = 4,505.43

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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.