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Finding the Fourth Proportional to 11,963.75, 17,945.09 and 4,065.95

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Solution

The fourth proportional to 11,963.75, 17,945.09 and 4,065.95 is: 6,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.75 : 17,945.09 = 4,065.95 : x
  2. Step 2: Convert to fraction form
    11,963.75/17,945.09 = 4,065.95/x
  3. Step 3: Cross multiply
    11,963.75x = 17,945.09 × 4,065.95
  4. Step 4: Simplify right side
    11,963.75x = 72,963,800.40
  5. Step 5: Solve for x
    x = 72,963,800.40/11,963.75
  6. Step 6: Final answer
    x = 6,098.74

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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.