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Finding the Fourth Proportional to 8,411.33, 11,607.43 and 4,634.43

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Solution

The fourth proportional to 8,411.33, 11,607.43 and 4,634.43 is: 6,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.33 : 11,607.43 = 4,634.43 : x
  2. Step 2: Convert to fraction form
    8,411.33/11,607.43 = 4,634.43/x
  3. Step 3: Cross multiply
    8,411.33x = 11,607.43 × 4,634.43
  4. Step 4: Simplify right side
    8,411.33x = 53,793,778.68
  5. Step 5: Solve for x
    x = 53,793,778.68/8,411.33
  6. Step 6: Final answer
    x = 6,395.39

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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.