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Finding the Fourth Proportional to 8,586.21, 11,760.19 and 8,081.85

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Solution

The fourth proportional to 8,586.21, 11,760.19 and 8,081.85 is: 11,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.21 : 11,760.19 = 8,081.85 : x
  2. Step 2: Convert to fraction form
    8,586.21/11,760.19 = 8,081.85/x
  3. Step 3: Cross multiply
    8,586.21x = 11,760.19 × 8,081.85
  4. Step 4: Simplify right side
    8,586.21x = 95,044,091.55
  5. Step 5: Solve for x
    x = 95,044,091.55/8,586.21
  6. Step 6: Final answer
    x = 11,069.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.