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Finding the Fourth Proportional to 11,883.64, 17,824.08 and 3,119.23

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Solution

The fourth proportional to 11,883.64, 17,824.08 and 3,119.23 is: 4,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.64 : 17,824.08 = 3,119.23 : x
  2. Step 2: Convert to fraction form
    11,883.64/17,824.08 = 3,119.23/x
  3. Step 3: Cross multiply
    11,883.64x = 17,824.08 × 3,119.23
  4. Step 4: Simplify right side
    11,883.64x = 55,597,462.85
  5. Step 5: Solve for x
    x = 55,597,462.85/11,883.64
  6. Step 6: Final answer
    x = 4,678.49

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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.