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Finding the Fourth Proportional to 7,838.73, 11,757.78 and 2,644.61

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Solution

The fourth proportional to 7,838.73, 11,757.78 and 2,644.61 is: 3,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.73 : 11,757.78 = 2,644.61 : x
  2. Step 2: Convert to fraction form
    7,838.73/11,757.78 = 2,644.61/x
  3. Step 3: Cross multiply
    7,838.73x = 11,757.78 × 2,644.61
  4. Step 4: Simplify right side
    7,838.73x = 31,094,683.78
  5. Step 5: Solve for x
    x = 31,094,683.78/7,838.73
  6. Step 6: Final answer
    x = 3,966.80

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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.