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Finding the Fourth Proportional to 8,234.37, 12,329.55 and 4,942.89

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Solution

The fourth proportional to 8,234.37, 12,329.55 and 4,942.89 is: 7,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.37 : 12,329.55 = 4,942.89 : x
  2. Step 2: Convert to fraction form
    8,234.37/12,329.55 = 4,942.89/x
  3. Step 3: Cross multiply
    8,234.37x = 12,329.55 × 4,942.89
  4. Step 4: Simplify right side
    8,234.37x = 60,943,609.40
  5. Step 5: Solve for x
    x = 60,943,609.40/8,234.37
  6. Step 6: Final answer
    x = 7,401.13

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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.