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Finding the Fourth Proportional to 8,469.90, 11,701.73 and 5,831.37

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Solution

The fourth proportional to 8,469.90, 11,701.73 and 5,831.37 is: 8,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.90 : 11,701.73 = 5,831.37 : x
  2. Step 2: Convert to fraction form
    8,469.90/11,701.73 = 5,831.37/x
  3. Step 3: Cross multiply
    8,469.90x = 11,701.73 × 5,831.37
  4. Step 4: Simplify right side
    8,469.90x = 68,237,131.85
  5. Step 5: Solve for x
    x = 68,237,131.85/8,469.90
  6. Step 6: Final answer
    x = 8,056.43

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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.