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Finding the Fourth Proportional to 8,682.69, 11,982.07 and 4,703.81

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Solution

The fourth proportional to 8,682.69, 11,982.07 and 4,703.81 is: 6,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.69 : 11,982.07 = 4,703.81 : x
  2. Step 2: Convert to fraction form
    8,682.69/11,982.07 = 4,703.81/x
  3. Step 3: Cross multiply
    8,682.69x = 11,982.07 × 4,703.81
  4. Step 4: Simplify right side
    8,682.69x = 56,361,380.69
  5. Step 5: Solve for x
    x = 56,361,380.69/8,682.69
  6. Step 6: Final answer
    x = 6,491.23

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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.