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Finding the Fourth Proportional to 8,519.85, 12,779.46 and 4,136.13

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Solution

The fourth proportional to 8,519.85, 12,779.46 and 4,136.13 is: 6,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.85 : 12,779.46 = 4,136.13 : x
  2. Step 2: Convert to fraction form
    8,519.85/12,779.46 = 4,136.13/x
  3. Step 3: Cross multiply
    8,519.85x = 12,779.46 × 4,136.13
  4. Step 4: Simplify right side
    8,519.85x = 52,857,507.89
  5. Step 5: Solve for x
    x = 52,857,507.89/8,519.85
  6. Step 6: Final answer
    x = 6,204.04

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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.