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Finding the Fourth Proportional to 7,782.49, 10,739.87 and 4,245.67

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Solution

The fourth proportional to 7,782.49, 10,739.87 and 4,245.67 is: 5,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.49 : 10,739.87 = 4,245.67 : x
  2. Step 2: Convert to fraction form
    7,782.49/10,739.87 = 4,245.67/x
  3. Step 3: Cross multiply
    7,782.49x = 10,739.87 × 4,245.67
  4. Step 4: Simplify right side
    7,782.49x = 45,597,943.86
  5. Step 5: Solve for x
    x = 45,597,943.86/7,782.49
  6. Step 6: Final answer
    x = 5,859.04

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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.