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Finding the Fourth Proportional to 11,968.14, 16,515.66 and 6,662.69

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Solution

The fourth proportional to 11,968.14, 16,515.66 and 6,662.69 is: 9,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.14 : 16,515.66 = 6,662.69 : x
  2. Step 2: Convert to fraction form
    11,968.14/16,515.66 = 6,662.69/x
  3. Step 3: Cross multiply
    11,968.14x = 16,515.66 × 6,662.69
  4. Step 4: Simplify right side
    11,968.14x = 110,038,722.73
  5. Step 5: Solve for x
    x = 110,038,722.73/11,968.14
  6. Step 6: Final answer
    x = 9,194.30

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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.