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Finding the Fourth Proportional to 6,683.62, 10,025.39 and 5,224

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Solution

The fourth proportional to 6,683.62, 10,025.39 and 5,224 is: 7,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.62 : 10,025.39 = 5,224 : x
  2. Step 2: Convert to fraction form
    6,683.62/10,025.39 = 5,224/x
  3. Step 3: Cross multiply
    6,683.62x = 10,025.39 × 5,224
  4. Step 4: Simplify right side
    6,683.62x = 52,372,611.24
  5. Step 5: Solve for x
    x = 52,372,611.24/6,683.62
  6. Step 6: Final answer
    x = 7,835.96

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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.