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Finding the Fourth Proportional to 11,243, 16,852.98 and 4,673

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Solution

The fourth proportional to 11,243, 16,852.98 and 4,673 is: 7,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243 : 16,852.98 = 4,673 : x
  2. Step 2: Convert to fraction form
    11,243/16,852.98 = 4,673/x
  3. Step 3: Cross multiply
    11,243x = 16,852.98 × 4,673
  4. Step 4: Simplify right side
    11,243x = 78,753,975.54
  5. Step 5: Solve for x
    x = 78,753,975.54/11,243
  6. Step 6: Final answer
    x = 7,004.71

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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.