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Finding the Fourth Proportional to 8,757.10, 13,114.05 and 6,553.90

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Solution

The fourth proportional to 8,757.10, 13,114.05 and 6,553.90 is: 9,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.10 : 13,114.05 = 6,553.90 : x
  2. Step 2: Convert to fraction form
    8,757.10/13,114.05 = 6,553.90/x
  3. Step 3: Cross multiply
    8,757.10x = 13,114.05 × 6,553.90
  4. Step 4: Simplify right side
    8,757.10x = 85,948,172.30
  5. Step 5: Solve for x
    x = 85,948,172.30/8,757.10
  6. Step 6: Final answer
    x = 9,814.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.