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Finding the Fourth Proportional to 6,910.30, 10,365.99 and 3,402.19

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Solution

The fourth proportional to 6,910.30, 10,365.99 and 3,402.19 is: 5,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.30 : 10,365.99 = 3,402.19 : x
  2. Step 2: Convert to fraction form
    6,910.30/10,365.99 = 3,402.19/x
  3. Step 3: Cross multiply
    6,910.30x = 10,365.99 × 3,402.19
  4. Step 4: Simplify right side
    6,910.30x = 35,267,067.52
  5. Step 5: Solve for x
    x = 35,267,067.52/6,910.30
  6. Step 6: Final answer
    x = 5,103.55

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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.