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Finding the Fourth Proportional to 11,966.74, 16,512.48 and 6,660.84

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Solution

The fourth proportional to 11,966.74, 16,512.48 and 6,660.84 is: 9,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.74 : 16,512.48 = 6,660.84 : x
  2. Step 2: Convert to fraction form
    11,966.74/16,512.48 = 6,660.84/x
  3. Step 3: Cross multiply
    11,966.74x = 16,512.48 × 6,660.84
  4. Step 4: Simplify right side
    11,966.74x = 109,986,987.28
  5. Step 5: Solve for x
    x = 109,986,987.28/11,966.74
  6. Step 6: Final answer
    x = 9,191.06

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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.