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Finding the Fourth Proportional to 7,824.78, 11,729.84 and 2,627

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Solution

The fourth proportional to 7,824.78, 11,729.84 and 2,627 is: 3,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.78 : 11,729.84 = 2,627 : x
  2. Step 2: Convert to fraction form
    7,824.78/11,729.84 = 2,627/x
  3. Step 3: Cross multiply
    7,824.78x = 11,729.84 × 2,627
  4. Step 4: Simplify right side
    7,824.78x = 30,814,289.68
  5. Step 5: Solve for x
    x = 30,814,289.68/7,824.78
  6. Step 6: Final answer
    x = 3,938.04

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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.