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Finding the Fourth Proportional to 8,627.31, 11,906.37 and 4,851.41

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Solution

The fourth proportional to 8,627.31, 11,906.37 and 4,851.41 is: 6,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.31 : 11,906.37 = 4,851.41 : x
  2. Step 2: Convert to fraction form
    8,627.31/11,906.37 = 4,851.41/x
  3. Step 3: Cross multiply
    8,627.31x = 11,906.37 × 4,851.41
  4. Step 4: Simplify right side
    8,627.31x = 57,762,622.95
  5. Step 5: Solve for x
    x = 57,762,622.95/8,627.31
  6. Step 6: Final answer
    x = 6,695.32

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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.