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Finding the Fourth Proportional to 11,765.79, 17,644.48 and 4,267.46

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Solution

The fourth proportional to 11,765.79, 17,644.48 and 4,267.46 is: 6,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.79 : 17,644.48 = 4,267.46 : x
  2. Step 2: Convert to fraction form
    11,765.79/17,644.48 = 4,267.46/x
  3. Step 3: Cross multiply
    11,765.79x = 17,644.48 × 4,267.46
  4. Step 4: Simplify right side
    11,765.79x = 75,297,079.90
  5. Step 5: Solve for x
    x = 75,297,079.90/11,765.79
  6. Step 6: Final answer
    x = 6,399.66

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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.