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Finding the Fourth Proportional to 11,704.94, 16,154.30 and 6,670.97

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Solution

The fourth proportional to 11,704.94, 16,154.30 and 6,670.97 is: 9,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.94 : 16,154.30 = 6,670.97 : x
  2. Step 2: Convert to fraction form
    11,704.94/16,154.30 = 6,670.97/x
  3. Step 3: Cross multiply
    11,704.94x = 16,154.30 × 6,670.97
  4. Step 4: Simplify right side
    11,704.94x = 107,764,847.16
  5. Step 5: Solve for x
    x = 107,764,847.16/11,704.94
  6. Step 6: Final answer
    x = 9,206.78

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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.