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Finding the Fourth Proportional to 8,230.92, 12,353.57 and 7,295.99

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Solution

The fourth proportional to 8,230.92, 12,353.57 and 7,295.99 is: 10,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.92 : 12,353.57 = 7,295.99 : x
  2. Step 2: Convert to fraction form
    8,230.92/12,353.57 = 7,295.99/x
  3. Step 3: Cross multiply
    8,230.92x = 12,353.57 × 7,295.99
  4. Step 4: Simplify right side
    8,230.92x = 90,131,424.94
  5. Step 5: Solve for x
    x = 90,131,424.94/8,230.92
  6. Step 6: Final answer
    x = 10,950.35

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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.