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Finding the Fourth Proportional to 10,704.66, 16,057.04 and 3,779.16

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Solution

The fourth proportional to 10,704.66, 16,057.04 and 3,779.16 is: 5,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.66 : 16,057.04 = 3,779.16 : x
  2. Step 2: Convert to fraction form
    10,704.66/16,057.04 = 3,779.16/x
  3. Step 3: Cross multiply
    10,704.66x = 16,057.04 × 3,779.16
  4. Step 4: Simplify right side
    10,704.66x = 60,682,044.18
  5. Step 5: Solve for x
    x = 60,682,044.18/10,704.66
  6. Step 6: Final answer
    x = 5,668.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.