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Finding the Fourth Proportional to 10,794.33, 16,202.43 and 6,901.47

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Solution

The fourth proportional to 10,794.33, 16,202.43 and 6,901.47 is: 10,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.33 : 16,202.43 = 6,901.47 : x
  2. Step 2: Convert to fraction form
    10,794.33/16,202.43 = 6,901.47/x
  3. Step 3: Cross multiply
    10,794.33x = 16,202.43 × 6,901.47
  4. Step 4: Simplify right side
    10,794.33x = 111,820,584.57
  5. Step 5: Solve for x
    x = 111,820,584.57/10,794.33
  6. Step 6: Final answer
    x = 10,359.20

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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.