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Finding the Fourth Proportional to 8,230.15, 12,345.23 and 3,850.69

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Solution

The fourth proportional to 8,230.15, 12,345.23 and 3,850.69 is: 5,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.15 : 12,345.23 = 3,850.69 : x
  2. Step 2: Convert to fraction form
    8,230.15/12,345.23 = 3,850.69/x
  3. Step 3: Cross multiply
    8,230.15x = 12,345.23 × 3,850.69
  4. Step 4: Simplify right side
    8,230.15x = 47,537,572.73
  5. Step 5: Solve for x
    x = 47,537,572.73/8,230.15
  6. Step 6: Final answer
    x = 5,776.03

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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.