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Finding the Fourth Proportional to 8,683.40, 13,014.68 and 3,996.98

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Solution

The fourth proportional to 8,683.40, 13,014.68 and 3,996.98 is: 5,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.40 : 13,014.68 = 3,996.98 : x
  2. Step 2: Convert to fraction form
    8,683.40/13,014.68 = 3,996.98/x
  3. Step 3: Cross multiply
    8,683.40x = 13,014.68 × 3,996.98
  4. Step 4: Simplify right side
    8,683.40x = 52,019,379.41
  5. Step 5: Solve for x
    x = 52,019,379.41/8,683.40
  6. Step 6: Final answer
    x = 5,990.67

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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.