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Finding the Fourth Proportional to 10,836.69, 14,954.14 and 6,805.60

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Solution

The fourth proportional to 10,836.69, 14,954.14 and 6,805.60 is: 9,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.69 : 14,954.14 = 6,805.60 : x
  2. Step 2: Convert to fraction form
    10,836.69/14,954.14 = 6,805.60/x
  3. Step 3: Cross multiply
    10,836.69x = 14,954.14 × 6,805.60
  4. Step 4: Simplify right side
    10,836.69x = 101,771,912.14
  5. Step 5: Solve for x
    x = 101,771,912.14/10,836.69
  6. Step 6: Final answer
    x = 9,391.42

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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.