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Finding the Fourth Proportional to 6,809.15, 10,203.99 and 3,881.42

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Solution

The fourth proportional to 6,809.15, 10,203.99 and 3,881.42 is: 5,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.15 : 10,203.99 = 3,881.42 : x
  2. Step 2: Convert to fraction form
    6,809.15/10,203.99 = 3,881.42/x
  3. Step 3: Cross multiply
    6,809.15x = 10,203.99 × 3,881.42
  4. Step 4: Simplify right side
    6,809.15x = 39,605,970.87
  5. Step 5: Solve for x
    x = 39,605,970.87/6,809.15
  6. Step 6: Final answer
    x = 5,816.58

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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.