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Finding the Fourth Proportional to 11,884.37, 17,825.48 and 3,566.24

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Solution

The fourth proportional to 11,884.37, 17,825.48 and 3,566.24 is: 5,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.37 : 17,825.48 = 3,566.24 : x
  2. Step 2: Convert to fraction form
    11,884.37/17,825.48 = 3,566.24/x
  3. Step 3: Cross multiply
    11,884.37x = 17,825.48 × 3,566.24
  4. Step 4: Simplify right side
    11,884.37x = 63,569,913.06
  5. Step 5: Solve for x
    x = 63,569,913.06/11,884.37
  6. Step 6: Final answer
    x = 5,349.04

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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.