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Finding the Fourth Proportional to 10,679.80, 14,738.10 and 6,202.60

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Solution

The fourth proportional to 10,679.80, 14,738.10 and 6,202.60 is: 8,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.80 : 14,738.10 = 6,202.60 : x
  2. Step 2: Convert to fraction form
    10,679.80/14,738.10 = 6,202.60/x
  3. Step 3: Cross multiply
    10,679.80x = 14,738.10 × 6,202.60
  4. Step 4: Simplify right side
    10,679.80x = 91,414,539.06
  5. Step 5: Solve for x
    x = 91,414,539.06/10,679.80
  6. Step 6: Final answer
    x = 8,559.57

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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.