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Finding the Fourth Proportional to 6,805.80, 10,208.70 and 3,684.60

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Solution

The fourth proportional to 6,805.80, 10,208.70 and 3,684.60 is: 5,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.80 : 10,208.70 = 3,684.60 : x
  2. Step 2: Convert to fraction form
    6,805.80/10,208.70 = 3,684.60/x
  3. Step 3: Cross multiply
    6,805.80x = 10,208.70 × 3,684.60
  4. Step 4: Simplify right side
    6,805.80x = 37,614,976.02
  5. Step 5: Solve for x
    x = 37,614,976.02/6,805.80
  6. Step 6: Final answer
    x = 5,526.90

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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.