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Finding the Fourth Proportional to 8,520.34, 12,781.71 and 3,586.90

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Solution

The fourth proportional to 8,520.34, 12,781.71 and 3,586.90 is: 5,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.34 : 12,781.71 = 3,586.90 : x
  2. Step 2: Convert to fraction form
    8,520.34/12,781.71 = 3,586.90/x
  3. Step 3: Cross multiply
    8,520.34x = 12,781.71 × 3,586.90
  4. Step 4: Simplify right side
    8,520.34x = 45,846,715.60
  5. Step 5: Solve for x
    x = 45,846,715.60/8,520.34
  6. Step 6: Final answer
    x = 5,380.86

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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.