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Finding the Fourth Proportional to 7,838.42, 11,757.27 and 2,644.25

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Solution

The fourth proportional to 7,838.42, 11,757.27 and 2,644.25 is: 3,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.42 : 11,757.27 = 2,644.25 : x
  2. Step 2: Convert to fraction form
    7,838.42/11,757.27 = 2,644.25/x
  3. Step 3: Cross multiply
    7,838.42x = 11,757.27 × 2,644.25
  4. Step 4: Simplify right side
    7,838.42x = 31,089,161.20
  5. Step 5: Solve for x
    x = 31,089,161.20/7,838.42
  6. Step 6: Final answer
    x = 3,966.25

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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.