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Finding the Fourth Proportional to 11,915.56, 16,441.62 and 6,811

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Solution

The fourth proportional to 11,915.56, 16,441.62 and 6,811 is: 9,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.56 : 16,441.62 = 6,811 : x
  2. Step 2: Convert to fraction form
    11,915.56/16,441.62 = 6,811/x
  3. Step 3: Cross multiply
    11,915.56x = 16,441.62 × 6,811
  4. Step 4: Simplify right side
    11,915.56x = 111,983,873.82
  5. Step 5: Solve for x
    x = 111,983,873.82/11,915.56
  6. Step 6: Final answer
    x = 9,398.12

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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.