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Finding the Fourth Proportional to 6,735.69, 10,104.35 and 2,294.10

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Solution

The fourth proportional to 6,735.69, 10,104.35 and 2,294.10 is: 3,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.69 : 10,104.35 = 2,294.10 : x
  2. Step 2: Convert to fraction form
    6,735.69/10,104.35 = 2,294.10/x
  3. Step 3: Cross multiply
    6,735.69x = 10,104.35 × 2,294.10
  4. Step 4: Simplify right side
    6,735.69x = 23,180,377.86
  5. Step 5: Solve for x
    x = 23,180,377.86/6,735.69
  6. Step 6: Final answer
    x = 3,441.43

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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.