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Finding the Fourth Proportional to 10,891.69, 16,313.08 and 9,467.81

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Solution

The fourth proportional to 10,891.69, 16,313.08 and 9,467.81 is: 14,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.69 : 16,313.08 = 9,467.81 : x
  2. Step 2: Convert to fraction form
    10,891.69/16,313.08 = 9,467.81/x
  3. Step 3: Cross multiply
    10,891.69x = 16,313.08 × 9,467.81
  4. Step 4: Simplify right side
    10,891.69x = 154,449,141.95
  5. Step 5: Solve for x
    x = 154,449,141.95/10,891.69
  6. Step 6: Final answer
    x = 14,180.46

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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.