Home / 7,834-11,749.74-2,286.04

Finding the Fourth Proportional to 7,834, 11,749.74 and 2,286.04

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Solution

The fourth proportional to 7,834, 11,749.74 and 2,286.04 is: 3,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 11,749.74 = 2,286.04 : x
  2. Step 2: Convert to fraction form
    7,834/11,749.74 = 2,286.04/x
  3. Step 3: Cross multiply
    7,834x = 11,749.74 × 2,286.04
  4. Step 4: Simplify right side
    7,834x = 26,860,375.63
  5. Step 5: Solve for x
    x = 26,860,375.63/7,834
  6. Step 6: Final answer
    x = 3,428.69

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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.