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Finding the Fourth Proportional to 6,802.27, 10,193.82 and 5,409.43

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Solution

The fourth proportional to 6,802.27, 10,193.82 and 5,409.43 is: 8,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.27 : 10,193.82 = 5,409.43 : x
  2. Step 2: Convert to fraction form
    6,802.27/10,193.82 = 5,409.43/x
  3. Step 3: Cross multiply
    6,802.27x = 10,193.82 × 5,409.43
  4. Step 4: Simplify right side
    6,802.27x = 55,142,755.72
  5. Step 5: Solve for x
    x = 55,142,755.72/6,802.27
  6. Step 6: Final answer
    x = 8,106.52

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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.