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Finding the Fourth Proportional to 6,909.80, 10,365.24 and 3,401.69

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Solution

The fourth proportional to 6,909.80, 10,365.24 and 3,401.69 is: 5,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.80 : 10,365.24 = 3,401.69 : x
  2. Step 2: Convert to fraction form
    6,909.80/10,365.24 = 3,401.69/x
  3. Step 3: Cross multiply
    6,909.80x = 10,365.24 × 3,401.69
  4. Step 4: Simplify right side
    6,909.80x = 35,259,333.26
  5. Step 5: Solve for x
    x = 35,259,333.26/6,909.80
  6. Step 6: Final answer
    x = 5,102.80

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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.