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Finding the Fourth Proportional to 8,683.25, 11,982.92 and 4,704.38

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Solution

The fourth proportional to 8,683.25, 11,982.92 and 4,704.38 is: 6,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.25 : 11,982.92 = 4,704.38 : x
  2. Step 2: Convert to fraction form
    8,683.25/11,982.92 = 4,704.38/x
  3. Step 3: Cross multiply
    8,683.25x = 11,982.92 × 4,704.38
  4. Step 4: Simplify right side
    8,683.25x = 56,372,125.75
  5. Step 5: Solve for x
    x = 56,372,125.75/8,683.25
  6. Step 6: Final answer
    x = 6,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.