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Finding the Fourth Proportional to 11,523, 17,282.37 and 3,200.91

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Solution

The fourth proportional to 11,523, 17,282.37 and 3,200.91 is: 4,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523 : 17,282.37 = 3,200.91 : x
  2. Step 2: Convert to fraction form
    11,523/17,282.37 = 3,200.91/x
  3. Step 3: Cross multiply
    11,523x = 17,282.37 × 3,200.91
  4. Step 4: Simplify right side
    11,523x = 55,319,310.96
  5. Step 5: Solve for x
    x = 55,319,310.96/11,523
  6. Step 6: Final answer
    x = 4,800.77

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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.