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Finding the Fourth Proportional to 10,768.35, 16,135.47 and 8,309.19

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Solution

The fourth proportional to 10,768.35, 16,135.47 and 8,309.19 is: 12,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.35 : 16,135.47 = 8,309.19 : x
  2. Step 2: Convert to fraction form
    10,768.35/16,135.47 = 8,309.19/x
  3. Step 3: Cross multiply
    10,768.35x = 16,135.47 × 8,309.19
  4. Step 4: Simplify right side
    10,768.35x = 134,072,685.97
  5. Step 5: Solve for x
    x = 134,072,685.97/10,768.35
  6. Step 6: Final answer
    x = 12,450.62

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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.