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Finding the Fourth Proportional to 7,770.44, 10,723.97 and 4,745.39

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Solution

The fourth proportional to 7,770.44, 10,723.97 and 4,745.39 is: 6,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.44 : 10,723.97 = 4,745.39 : x
  2. Step 2: Convert to fraction form
    7,770.44/10,723.97 = 4,745.39/x
  3. Step 3: Cross multiply
    7,770.44x = 10,723.97 × 4,745.39
  4. Step 4: Simplify right side
    7,770.44x = 50,889,342.65
  5. Step 5: Solve for x
    x = 50,889,342.65/7,770.44
  6. Step 6: Final answer
    x = 6,549.10

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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.