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Finding the Fourth Proportional to 11,894.64, 17,841.36 and 5,650.08

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Solution

The fourth proportional to 11,894.64, 17,841.36 and 5,650.08 is: 8,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.64 : 17,841.36 = 5,650.08 : x
  2. Step 2: Convert to fraction form
    11,894.64/17,841.36 = 5,650.08/x
  3. Step 3: Cross multiply
    11,894.64x = 17,841.36 × 5,650.08
  4. Step 4: Simplify right side
    11,894.64x = 100,805,111.31
  5. Step 5: Solve for x
    x = 100,805,111.31/11,894.64
  6. Step 6: Final answer
    x = 8,474.83

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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.