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Finding the Fourth Proportional to 6,794.50, 10,193.73 and 2,899.30

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Solution

The fourth proportional to 6,794.50, 10,193.73 and 2,899.30 is: 4,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.50 : 10,193.73 = 2,899.30 : x
  2. Step 2: Convert to fraction form
    6,794.50/10,193.73 = 2,899.30/x
  3. Step 3: Cross multiply
    6,794.50x = 10,193.73 × 2,899.30
  4. Step 4: Simplify right side
    6,794.50x = 29,554,681.39
  5. Step 5: Solve for x
    x = 29,554,681.39/6,794.50
  6. Step 6: Final answer
    x = 4,349.79

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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.