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Finding the Fourth Proportional to 11,766.75, 16,239.56 and 6,798.75

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Solution

The fourth proportional to 11,766.75, 16,239.56 and 6,798.75 is: 9,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.75 : 16,239.56 = 6,798.75 : x
  2. Step 2: Convert to fraction form
    11,766.75/16,239.56 = 6,798.75/x
  3. Step 3: Cross multiply
    11,766.75x = 16,239.56 × 6,798.75
  4. Step 4: Simplify right side
    11,766.75x = 110,408,674.56
  5. Step 5: Solve for x
    x = 110,408,674.56/11,766.75
  6. Step 6: Final answer
    x = 9,383.11

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