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Finding the Fourth Proportional to 10,694.49, 16,042.16 and 3,299.01

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Solution

The fourth proportional to 10,694.49, 16,042.16 and 3,299.01 is: 4,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.49 : 16,042.16 = 3,299.01 : x
  2. Step 2: Convert to fraction form
    10,694.49/16,042.16 = 3,299.01/x
  3. Step 3: Cross multiply
    10,694.49x = 16,042.16 × 3,299.01
  4. Step 4: Simplify right side
    10,694.49x = 52,923,246.26
  5. Step 5: Solve for x
    x = 52,923,246.26/10,694.49
  6. Step 6: Final answer
    x = 4,948.65

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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.