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Finding the Fourth Proportional to 10,245.44, 14,137.53 and 5,769.08

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Solution

The fourth proportional to 10,245.44, 14,137.53 and 5,769.08 is: 7,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.44 : 14,137.53 = 5,769.08 : x
  2. Step 2: Convert to fraction form
    10,245.44/14,137.53 = 5,769.08/x
  3. Step 3: Cross multiply
    10,245.44x = 14,137.53 × 5,769.08
  4. Step 4: Simplify right side
    10,245.44x = 81,560,470.88
  5. Step 5: Solve for x
    x = 81,560,470.88/10,245.44
  6. Step 6: Final answer
    x = 7,960.66

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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.