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Finding the Fourth Proportional to 11,975.51, 17,963.30 and 4,184.33

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Solution

The fourth proportional to 11,975.51, 17,963.30 and 4,184.33 is: 6,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.51 : 17,963.30 = 4,184.33 : x
  2. Step 2: Convert to fraction form
    11,975.51/17,963.30 = 4,184.33/x
  3. Step 3: Cross multiply
    11,975.51x = 17,963.30 × 4,184.33
  4. Step 4: Simplify right side
    11,975.51x = 75,164,295.73
  5. Step 5: Solve for x
    x = 75,164,295.73/11,975.51
  6. Step 6: Final answer
    x = 6,276.50

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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.