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Finding the Fourth Proportional to 7,782.58, 10,739.73 and 4,425.76

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Solution

The fourth proportional to 7,782.58, 10,739.73 and 4,425.76 is: 6,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.58 : 10,739.73 = 4,425.76 : x
  2. Step 2: Convert to fraction form
    7,782.58/10,739.73 = 4,425.76/x
  3. Step 3: Cross multiply
    7,782.58x = 10,739.73 × 4,425.76
  4. Step 4: Simplify right side
    7,782.58x = 47,531,467.44
  5. Step 5: Solve for x
    x = 47,531,467.44/7,782.58
  6. Step 6: Final answer
    x = 6,107.42

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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.