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Finding the Fourth Proportional to 10,321.78, 14,255.78 and 6,958.80

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Solution

The fourth proportional to 10,321.78, 14,255.78 and 6,958.80 is: 9,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.78 : 14,255.78 = 6,958.80 : x
  2. Step 2: Convert to fraction form
    10,321.78/14,255.78 = 6,958.80/x
  3. Step 3: Cross multiply
    10,321.78x = 14,255.78 × 6,958.80
  4. Step 4: Simplify right side
    10,321.78x = 99,203,121.86
  5. Step 5: Solve for x
    x = 99,203,121.86/10,321.78
  6. Step 6: Final answer
    x = 9,611.05

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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.