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Finding the Fourth Proportional to 11,804.97, 16,291.38 and 6,769.68

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Solution

The fourth proportional to 11,804.97, 16,291.38 and 6,769.68 is: 9,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.97 : 16,291.38 = 6,769.68 : x
  2. Step 2: Convert to fraction form
    11,804.97/16,291.38 = 6,769.68/x
  3. Step 3: Cross multiply
    11,804.97x = 16,291.38 × 6,769.68
  4. Step 4: Simplify right side
    11,804.97x = 110,287,355.57
  5. Step 5: Solve for x
    x = 110,287,355.57/11,804.97
  6. Step 6: Final answer
    x = 9,342.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.