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Finding the Fourth Proportional to 6,812.37, 10,208.43 and 3,849.66

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Solution

The fourth proportional to 6,812.37, 10,208.43 and 3,849.66 is: 5,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.37 : 10,208.43 = 3,849.66 : x
  2. Step 2: Convert to fraction form
    6,812.37/10,208.43 = 3,849.66/x
  3. Step 3: Cross multiply
    6,812.37x = 10,208.43 × 3,849.66
  4. Step 4: Simplify right side
    6,812.37x = 39,298,984.63
  5. Step 5: Solve for x
    x = 39,298,984.63/6,812.37
  6. Step 6: Final answer
    x = 5,768.77

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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.