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Finding the Fourth Proportional to 11,839.44, 16,338.54 and 6,803.61

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Solution

The fourth proportional to 11,839.44, 16,338.54 and 6,803.61 is: 9,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.44 : 16,338.54 = 6,803.61 : x
  2. Step 2: Convert to fraction form
    11,839.44/16,338.54 = 6,803.61/x
  3. Step 3: Cross multiply
    11,839.44x = 16,338.54 × 6,803.61
  4. Step 4: Simplify right side
    11,839.44x = 111,161,054.13
  5. Step 5: Solve for x
    x = 111,161,054.13/11,839.44
  6. Step 6: Final answer
    x = 9,389.05

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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.