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Finding the Fourth Proportional to 11,805.92, 16,290.81 and 6,768.75

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Solution

The fourth proportional to 11,805.92, 16,290.81 and 6,768.75 is: 9,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.92 : 16,290.81 = 6,768.75 : x
  2. Step 2: Convert to fraction form
    11,805.92/16,290.81 = 6,768.75/x
  3. Step 3: Cross multiply
    11,805.92x = 16,290.81 × 6,768.75
  4. Step 4: Simplify right side
    11,805.92x = 110,268,420.19
  5. Step 5: Solve for x
    x = 110,268,420.19/11,805.92
  6. Step 6: Final answer
    x = 9,340.10

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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.