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Finding the Fourth Proportional to 7,749.60, 10,694.46 and 4,212.80

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Solution

The fourth proportional to 7,749.60, 10,694.46 and 4,212.80 is: 5,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.60 : 10,694.46 = 4,212.80 : x
  2. Step 2: Convert to fraction form
    7,749.60/10,694.46 = 4,212.80/x
  3. Step 3: Cross multiply
    7,749.60x = 10,694.46 × 4,212.80
  4. Step 4: Simplify right side
    7,749.60x = 45,053,621.09
  5. Step 5: Solve for x
    x = 45,053,621.09/7,749.60
  6. Step 6: Final answer
    x = 5,813.67

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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.