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Finding the Fourth Proportional to 6,675.36, 10,012.14 and 1,744.60

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Solution

The fourth proportional to 6,675.36, 10,012.14 and 1,744.60 is: 2,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.36 : 10,012.14 = 1,744.60 : x
  2. Step 2: Convert to fraction form
    6,675.36/10,012.14 = 1,744.60/x
  3. Step 3: Cross multiply
    6,675.36x = 10,012.14 × 1,744.60
  4. Step 4: Simplify right side
    6,675.36x = 17,467,179.44
  5. Step 5: Solve for x
    x = 17,467,179.44/6,675.36
  6. Step 6: Final answer
    x = 2,616.66

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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.