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Finding the Fourth Proportional to 11,704.08, 16,128.24 and 8,340.96

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Solution

The fourth proportional to 11,704.08, 16,128.24 and 8,340.96 is: 11,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.08 : 16,128.24 = 8,340.96 : x
  2. Step 2: Convert to fraction form
    11,704.08/16,128.24 = 8,340.96/x
  3. Step 3: Cross multiply
    11,704.08x = 16,128.24 × 8,340.96
  4. Step 4: Simplify right side
    11,704.08x = 134,525,004.71
  5. Step 5: Solve for x
    x = 134,525,004.71/11,704.08
  6. Step 6: Final answer
    x = 11,493.86

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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.