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Finding the Fourth Proportional to 11,803.92, 16,289.45 and 6,768.24

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Solution

The fourth proportional to 11,803.92, 16,289.45 and 6,768.24 is: 9,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.92 : 16,289.45 = 6,768.24 : x
  2. Step 2: Convert to fraction form
    11,803.92/16,289.45 = 6,768.24/x
  3. Step 3: Cross multiply
    11,803.92x = 16,289.45 × 6,768.24
  4. Step 4: Simplify right side
    11,803.92x = 110,250,907.07
  5. Step 5: Solve for x
    x = 110,250,907.07/11,803.92
  6. Step 6: Final answer
    x = 9,340.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.