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Finding the Fourth Proportional to 8,519.48, 12,766.19 and 3,586.42

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Solution

The fourth proportional to 8,519.48, 12,766.19 and 3,586.42 is: 5,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.48 : 12,766.19 = 3,586.42 : x
  2. Step 2: Convert to fraction form
    8,519.48/12,766.19 = 3,586.42/x
  3. Step 3: Cross multiply
    8,519.48x = 12,766.19 × 3,586.42
  4. Step 4: Simplify right side
    8,519.48x = 45,784,919.14
  5. Step 5: Solve for x
    x = 45,784,919.14/8,519.48
  6. Step 6: Final answer
    x = 5,374.14

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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.