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Finding the Fourth Proportional to 6,899.01, 10,340.40 and 3,193.41

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Solution

The fourth proportional to 6,899.01, 10,340.40 and 3,193.41 is: 4,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.01 : 10,340.40 = 3,193.41 : x
  2. Step 2: Convert to fraction form
    6,899.01/10,340.40 = 3,193.41/x
  3. Step 3: Cross multiply
    6,899.01x = 10,340.40 × 3,193.41
  4. Step 4: Simplify right side
    6,899.01x = 33,021,136.76
  5. Step 5: Solve for x
    x = 33,021,136.76/6,899.01
  6. Step 6: Final answer
    x = 4,786.36

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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.