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Finding the Fourth Proportional to 6,914.49, 10,371.80 and 1,720.36

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Solution

The fourth proportional to 6,914.49, 10,371.80 and 1,720.36 is: 2,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.49 : 10,371.80 = 1,720.36 : x
  2. Step 2: Convert to fraction form
    6,914.49/10,371.80 = 1,720.36/x
  3. Step 3: Cross multiply
    6,914.49x = 10,371.80 × 1,720.36
  4. Step 4: Simplify right side
    6,914.49x = 17,843,229.85
  5. Step 5: Solve for x
    x = 17,843,229.85/6,914.49
  6. Step 6: Final answer
    x = 2,580.56

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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.