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Finding the Fourth Proportional to 11,662.76, 17,496.57 and 3,765.87

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Solution

The fourth proportional to 11,662.76, 17,496.57 and 3,765.87 is: 5,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.76 : 17,496.57 = 3,765.87 : x
  2. Step 2: Convert to fraction form
    11,662.76/17,496.57 = 3,765.87/x
  3. Step 3: Cross multiply
    11,662.76x = 17,496.57 × 3,765.87
  4. Step 4: Simplify right side
    11,662.76x = 65,889,808.07
  5. Step 5: Solve for x
    x = 65,889,808.07/11,662.76
  6. Step 6: Final answer
    x = 5,649.59

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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.