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Finding the Fourth Proportional to 10,857.97, 14,982.05 and 6,382.63

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Solution

The fourth proportional to 10,857.97, 14,982.05 and 6,382.63 is: 8,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.97 : 14,982.05 = 6,382.63 : x
  2. Step 2: Convert to fraction form
    10,857.97/14,982.05 = 6,382.63/x
  3. Step 3: Cross multiply
    10,857.97x = 14,982.05 × 6,382.63
  4. Step 4: Simplify right side
    10,857.97x = 95,624,806.88
  5. Step 5: Solve for x
    x = 95,624,806.88/10,857.97
  6. Step 6: Final answer
    x = 8,806.88

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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.