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Finding the Fourth Proportional to 6,683.84, 10,025.45 and 3,171.27

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Solution

The fourth proportional to 6,683.84, 10,025.45 and 3,171.27 is: 4,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.84 : 10,025.45 = 3,171.27 : x
  2. Step 2: Convert to fraction form
    6,683.84/10,025.45 = 3,171.27/x
  3. Step 3: Cross multiply
    6,683.84x = 10,025.45 × 3,171.27
  4. Step 4: Simplify right side
    6,683.84x = 31,793,408.82
  5. Step 5: Solve for x
    x = 31,793,408.82/6,683.84
  6. Step 6: Final answer
    x = 4,756.76

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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.