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Finding the Fourth Proportional to 11,910.74, 17,862.45 and 8,236.58

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Solution

The fourth proportional to 11,910.74, 17,862.45 and 8,236.58 is: 12,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.74 : 17,862.45 = 8,236.58 : x
  2. Step 2: Convert to fraction form
    11,910.74/17,862.45 = 8,236.58/x
  3. Step 3: Cross multiply
    11,910.74x = 17,862.45 × 8,236.58
  4. Step 4: Simplify right side
    11,910.74x = 147,125,564.94
  5. Step 5: Solve for x
    x = 147,125,564.94/11,910.74
  6. Step 6: Final answer
    x = 12,352.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.