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Finding the Fourth Proportional to 7,644.36, 10,549.31 and 4,241.44

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Solution

The fourth proportional to 7,644.36, 10,549.31 and 4,241.44 is: 5,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.36 : 10,549.31 = 4,241.44 : x
  2. Step 2: Convert to fraction form
    7,644.36/10,549.31 = 4,241.44/x
  3. Step 3: Cross multiply
    7,644.36x = 10,549.31 × 4,241.44
  4. Step 4: Simplify right side
    7,644.36x = 44,744,215.24
  5. Step 5: Solve for x
    x = 44,744,215.24/7,644.36
  6. Step 6: Final answer
    x = 5,853.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.