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Finding the Fourth Proportional to 11,704.08, 16,148.52 and 7,169.16

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Solution

The fourth proportional to 11,704.08, 16,148.52 and 7,169.16 is: 9,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.08 : 16,148.52 = 7,169.16 : x
  2. Step 2: Convert to fraction form
    11,704.08/16,148.52 = 7,169.16/x
  3. Step 3: Cross multiply
    11,704.08x = 16,148.52 × 7,169.16
  4. Step 4: Simplify right side
    11,704.08x = 115,771,323.64
  5. Step 5: Solve for x
    x = 115,771,323.64/11,704.08
  6. Step 6: Final answer
    x = 9,891.54

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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.