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Finding the Fourth Proportional to 10,768.34, 16,135.46 and 8,309.18

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Solution

The fourth proportional to 10,768.34, 16,135.46 and 8,309.18 is: 12,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.34 : 16,135.46 = 8,309.18 : x
  2. Step 2: Convert to fraction form
    10,768.34/16,135.46 = 8,309.18/x
  3. Step 3: Cross multiply
    10,768.34x = 16,135.46 × 8,309.18
  4. Step 4: Simplify right side
    10,768.34x = 134,072,441.52
  5. Step 5: Solve for x
    x = 134,072,441.52/10,768.34
  6. Step 6: Final answer
    x = 12,450.61

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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.