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Finding the Fourth Proportional to 7,738.49, 11,604.14 and 3,789.94

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Solution

The fourth proportional to 7,738.49, 11,604.14 and 3,789.94 is: 5,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.49 : 11,604.14 = 3,789.94 : x
  2. Step 2: Convert to fraction form
    7,738.49/11,604.14 = 3,789.94/x
  3. Step 3: Cross multiply
    7,738.49x = 11,604.14 × 3,789.94
  4. Step 4: Simplify right side
    7,738.49x = 43,978,971.70
  5. Step 5: Solve for x
    x = 43,978,971.70/7,738.49
  6. Step 6: Final answer
    x = 5,683.15

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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.