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Finding the Fourth Proportional to 10,683.63, 14,744.03 and 6,208.79

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Solution

The fourth proportional to 10,683.63, 14,744.03 and 6,208.79 is: 8,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.63 : 14,744.03 = 6,208.79 : x
  2. Step 2: Convert to fraction form
    10,683.63/14,744.03 = 6,208.79/x
  3. Step 3: Cross multiply
    10,683.63x = 14,744.03 × 6,208.79
  4. Step 4: Simplify right side
    10,683.63x = 91,542,481.26
  5. Step 5: Solve for x
    x = 91,542,481.26/10,683.63
  6. Step 6: Final answer
    x = 8,568.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.