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Finding the Fourth Proportional to 11,293.50, 16,940.31 and 3,085.50

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Solution

The fourth proportional to 11,293.50, 16,940.31 and 3,085.50 is: 4,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.50 : 16,940.31 = 3,085.50 : x
  2. Step 2: Convert to fraction form
    11,293.50/16,940.31 = 3,085.50/x
  3. Step 3: Cross multiply
    11,293.50x = 16,940.31 × 3,085.50
  4. Step 4: Simplify right side
    11,293.50x = 52,269,326.51
  5. Step 5: Solve for x
    x = 52,269,326.51/11,293.50
  6. Step 6: Final answer
    x = 4,628.27

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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.