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Finding the Fourth Proportional to 11,971.18, 16,520.07 and 6,666

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Solution

The fourth proportional to 11,971.18, 16,520.07 and 6,666 is: 9,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.18 : 16,520.07 = 6,666 : x
  2. Step 2: Convert to fraction form
    11,971.18/16,520.07 = 6,666/x
  3. Step 3: Cross multiply
    11,971.18x = 16,520.07 × 6,666
  4. Step 4: Simplify right side
    11,971.18x = 110,122,786.62
  5. Step 5: Solve for x
    x = 110,122,786.62/11,971.18
  6. Step 6: Final answer
    x = 9,198.99

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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.