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Finding the Fourth Proportional to 11,911.74, 17,863.95 and 8,237.58

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Solution

The fourth proportional to 11,911.74, 17,863.95 and 8,237.58 is: 12,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.74 : 17,863.95 = 8,237.58 : x
  2. Step 2: Convert to fraction form
    11,911.74/17,863.95 = 8,237.58/x
  3. Step 3: Cross multiply
    11,911.74x = 17,863.95 × 8,237.58
  4. Step 4: Simplify right side
    11,911.74x = 147,155,717.24
  5. Step 5: Solve for x
    x = 147,155,717.24/11,911.74
  6. Step 6: Final answer
    x = 12,353.84

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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.