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Finding the Fourth Proportional to 8,234.10, 12,352.38 and 3,039.60

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Solution

The fourth proportional to 8,234.10, 12,352.38 and 3,039.60 is: 4,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.10 : 12,352.38 = 3,039.60 : x
  2. Step 2: Convert to fraction form
    8,234.10/12,352.38 = 3,039.60/x
  3. Step 3: Cross multiply
    8,234.10x = 12,352.38 × 3,039.60
  4. Step 4: Simplify right side
    8,234.10x = 37,546,294.25
  5. Step 5: Solve for x
    x = 37,546,294.25/8,234.10
  6. Step 6: Final answer
    x = 4,559.85

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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.