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Finding the Fourth Proportional to 6,831.84, 10,239.84 and 3,709.44

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Solution

The fourth proportional to 6,831.84, 10,239.84 and 3,709.44 is: 5,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.84 : 10,239.84 = 3,709.44 : x
  2. Step 2: Convert to fraction form
    6,831.84/10,239.84 = 3,709.44/x
  3. Step 3: Cross multiply
    6,831.84x = 10,239.84 × 3,709.44
  4. Step 4: Simplify right side
    6,831.84x = 37,984,072.09
  5. Step 5: Solve for x
    x = 37,984,072.09/6,831.84
  6. Step 6: Final answer
    x = 5,559.86

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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.