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Finding the Fourth Proportional to 11,762.10, 17,644.68 and 3,861.90

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Solution

The fourth proportional to 11,762.10, 17,644.68 and 3,861.90 is: 5,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 17,644.68 = 3,861.90 : x
  2. Step 2: Convert to fraction form
    11,762.10/17,644.68 = 3,861.90/x
  3. Step 3: Cross multiply
    11,762.10x = 17,644.68 × 3,861.90
  4. Step 4: Simplify right side
    11,762.10x = 68,141,989.69
  5. Step 5: Solve for x
    x = 68,141,989.69/11,762.10
  6. Step 6: Final answer
    x = 5,793.35

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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.