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Finding the Fourth Proportional to 10,694.70, 16,042.05 and 6,816.30

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Solution

The fourth proportional to 10,694.70, 16,042.05 and 6,816.30 is: 10,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 16,042.05 = 6,816.30 : x
  2. Step 2: Convert to fraction form
    10,694.70/16,042.05 = 6,816.30/x
  3. Step 3: Cross multiply
    10,694.70x = 16,042.05 × 6,816.30
  4. Step 4: Simplify right side
    10,694.70x = 109,347,425.42
  5. Step 5: Solve for x
    x = 109,347,425.42/10,694.70
  6. Step 6: Final answer
    x = 10,224.45

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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.