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Finding the Fourth Proportional to 8,517.10, 12,770.38 and 3,584.20

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Solution

The fourth proportional to 8,517.10, 12,770.38 and 3,584.20 is: 5,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.10 : 12,770.38 = 3,584.20 : x
  2. Step 2: Convert to fraction form
    8,517.10/12,770.38 = 3,584.20/x
  3. Step 3: Cross multiply
    8,517.10x = 12,770.38 × 3,584.20
  4. Step 4: Simplify right side
    8,517.10x = 45,771,596.00
  5. Step 5: Solve for x
    x = 45,771,596.00/8,517.10
  6. Step 6: Final answer
    x = 5,374.08

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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.