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Finding the Fourth Proportional to 8,662.43, 11,954.19 and 4,683.53

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Solution

The fourth proportional to 8,662.43, 11,954.19 and 4,683.53 is: 6,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.43 : 11,954.19 = 4,683.53 : x
  2. Step 2: Convert to fraction form
    8,662.43/11,954.19 = 4,683.53/x
  3. Step 3: Cross multiply
    8,662.43x = 11,954.19 × 4,683.53
  4. Step 4: Simplify right side
    8,662.43x = 55,987,747.72
  5. Step 5: Solve for x
    x = 55,987,747.72/8,662.43
  6. Step 6: Final answer
    x = 6,463.29

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Why These Related Problems?

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