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Finding the Fourth Proportional to 8,309.85, 11,444.26 and 8,128.41

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Solution

The fourth proportional to 8,309.85, 11,444.26 and 8,128.41 is: 11,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.85 : 11,444.26 = 8,128.41 : x
  2. Step 2: Convert to fraction form
    8,309.85/11,444.26 = 8,128.41/x
  3. Step 3: Cross multiply
    8,309.85x = 11,444.26 × 8,128.41
  4. Step 4: Simplify right side
    8,309.85x = 93,023,637.43
  5. Step 5: Solve for x
    x = 93,023,637.43/8,309.85
  6. Step 6: Final answer
    x = 11,194.38

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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.