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Finding the Fourth Proportional to 7,086.81, 10,625.41 and 3,968.96

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Solution

The fourth proportional to 7,086.81, 10,625.41 and 3,968.96 is: 5,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.81 : 10,625.41 = 3,968.96 : x
  2. Step 2: Convert to fraction form
    7,086.81/10,625.41 = 3,968.96/x
  3. Step 3: Cross multiply
    7,086.81x = 10,625.41 × 3,968.96
  4. Step 4: Simplify right side
    7,086.81x = 42,171,827.27
  5. Step 5: Solve for x
    x = 42,171,827.27/7,086.81
  6. Step 6: Final answer
    x = 5,950.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.