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Finding the Fourth Proportional to 8,683.12, 11,982.67 and 4,704.24

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Solution

The fourth proportional to 8,683.12, 11,982.67 and 4,704.24 is: 6,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.12 : 11,982.67 = 4,704.24 : x
  2. Step 2: Convert to fraction form
    8,683.12/11,982.67 = 4,704.24/x
  3. Step 3: Cross multiply
    8,683.12x = 11,982.67 × 4,704.24
  4. Step 4: Simplify right side
    8,683.12x = 56,369,355.52
  5. Step 5: Solve for x
    x = 56,369,355.52/8,683.12
  6. Step 6: Final answer
    x = 6,491.83

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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.