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Finding the Fourth Proportional to 11,189.50, 16,784.31 and 2,981.50

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Solution

The fourth proportional to 11,189.50, 16,784.31 and 2,981.50 is: 4,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.50 : 16,784.31 = 2,981.50 : x
  2. Step 2: Convert to fraction form
    11,189.50/16,784.31 = 2,981.50/x
  3. Step 3: Cross multiply
    11,189.50x = 16,784.31 × 2,981.50
  4. Step 4: Simplify right side
    11,189.50x = 50,042,420.27
  5. Step 5: Solve for x
    x = 50,042,420.27/11,189.50
  6. Step 6: Final answer
    x = 4,472.27

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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.