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Finding the Fourth Proportional to 7,682.10, 10,597.41 and 4,493.31

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Solution

The fourth proportional to 7,682.10, 10,597.41 and 4,493.31 is: 6,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.10 : 10,597.41 = 4,493.31 : x
  2. Step 2: Convert to fraction form
    7,682.10/10,597.41 = 4,493.31/x
  3. Step 3: Cross multiply
    7,682.10x = 10,597.41 × 4,493.31
  4. Step 4: Simplify right side
    7,682.10x = 47,617,448.33
  5. Step 5: Solve for x
    x = 47,617,448.33/7,682.10
  6. Step 6: Final answer
    x = 6,198.49

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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.