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Finding the Fourth Proportional to 10,891.94, 16,326.86 and 7,382.30

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Solution

The fourth proportional to 10,891.94, 16,326.86 and 7,382.30 is: 11,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.94 : 16,326.86 = 7,382.30 : x
  2. Step 2: Convert to fraction form
    10,891.94/16,326.86 = 7,382.30/x
  3. Step 3: Cross multiply
    10,891.94x = 16,326.86 × 7,382.30
  4. Step 4: Simplify right side
    10,891.94x = 120,529,660.03
  5. Step 5: Solve for x
    x = 120,529,660.03/10,891.94
  6. Step 6: Final answer
    x = 11,065.95

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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.