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Finding the Fourth Proportional to 11,765.27, 17,650.53 and 3,973.88

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Solution

The fourth proportional to 11,765.27, 17,650.53 and 3,973.88 is: 5,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.27 : 17,650.53 = 3,973.88 : x
  2. Step 2: Convert to fraction form
    11,765.27/17,650.53 = 3,973.88/x
  3. Step 3: Cross multiply
    11,765.27x = 17,650.53 × 3,973.88
  4. Step 4: Simplify right side
    11,765.27x = 70,140,999.90
  5. Step 5: Solve for x
    x = 70,140,999.90/11,765.27
  6. Step 6: Final answer
    x = 5,961.70

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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.