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Finding the Fourth Proportional to 6,839.86, 10,261.32 and 3,722.68

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Solution

The fourth proportional to 6,839.86, 10,261.32 and 3,722.68 is: 5,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.86 : 10,261.32 = 3,722.68 : x
  2. Step 2: Convert to fraction form
    6,839.86/10,261.32 = 3,722.68/x
  3. Step 3: Cross multiply
    6,839.86x = 10,261.32 × 3,722.68
  4. Step 4: Simplify right side
    6,839.86x = 38,199,610.74
  5. Step 5: Solve for x
    x = 38,199,610.74/6,839.86
  6. Step 6: Final answer
    x = 5,584.85

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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.