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Finding the Fourth Proportional to 7,782.44, 10,739.72 and 4,245.64

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Solution

The fourth proportional to 7,782.44, 10,739.72 and 4,245.64 is: 5,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.44 : 10,739.72 = 4,245.64 : x
  2. Step 2: Convert to fraction form
    7,782.44/10,739.72 = 4,245.64/x
  3. Step 3: Cross multiply
    7,782.44x = 10,739.72 × 4,245.64
  4. Step 4: Simplify right side
    7,782.44x = 45,596,968.59
  5. Step 5: Solve for x
    x = 45,596,968.59/7,782.44
  6. Step 6: Final answer
    x = 5,858.96

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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.