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Finding the Fourth Proportional to 11,762.10, 17,632.20 and 3,965.44

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Solution

The fourth proportional to 11,762.10, 17,632.20 and 3,965.44 is: 5,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 17,632.20 = 3,965.44 : x
  2. Step 2: Convert to fraction form
    11,762.10/17,632.20 = 3,965.44/x
  3. Step 3: Cross multiply
    11,762.10x = 17,632.20 × 3,965.44
  4. Step 4: Simplify right side
    11,762.10x = 69,919,431.17
  5. Step 5: Solve for x
    x = 69,919,431.17/11,762.10
  6. Step 6: Final answer
    x = 5,944.47

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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.