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Finding the Fourth Proportional to 11,768.80, 17,653.60 and 3,871.44

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Solution

The fourth proportional to 11,768.80, 17,653.60 and 3,871.44 is: 5,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.80 : 17,653.60 = 3,871.44 : x
  2. Step 2: Convert to fraction form
    11,768.80/17,653.60 = 3,871.44/x
  3. Step 3: Cross multiply
    11,768.80x = 17,653.60 × 3,871.44
  4. Step 4: Simplify right side
    11,768.80x = 68,344,853.18
  5. Step 5: Solve for x
    x = 68,344,853.18/11,768.80
  6. Step 6: Final answer
    x = 5,807.29

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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.