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Finding the Fourth Proportional to 7,782.48, 10,739.54 and 4,245.62

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Solution

The fourth proportional to 7,782.48, 10,739.54 and 4,245.62 is: 5,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.48 : 10,739.54 = 4,245.62 : x
  2. Step 2: Convert to fraction form
    7,782.48/10,739.54 = 4,245.62/x
  3. Step 3: Cross multiply
    7,782.48x = 10,739.54 × 4,245.62
  4. Step 4: Simplify right side
    7,782.48x = 45,595,938.85
  5. Step 5: Solve for x
    x = 45,595,938.85/7,782.48
  6. Step 6: Final answer
    x = 5,858.79

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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.