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Finding the Fourth Proportional to 10,677.44, 14,733.74 and 6,200.33

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Solution

The fourth proportional to 10,677.44, 14,733.74 and 6,200.33 is: 8,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.44 : 14,733.74 = 6,200.33 : x
  2. Step 2: Convert to fraction form
    10,677.44/14,733.74 = 6,200.33/x
  3. Step 3: Cross multiply
    10,677.44x = 14,733.74 × 6,200.33
  4. Step 4: Simplify right side
    10,677.44x = 91,353,991.97
  5. Step 5: Solve for x
    x = 91,353,991.97/10,677.44
  6. Step 6: Final answer
    x = 8,555.79

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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.