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Finding the Fourth Proportional to 7,723, 11,584.50 and 2,251

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Solution

The fourth proportional to 7,723, 11,584.50 and 2,251 is: 3,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 11,584.50 = 2,251 : x
  2. Step 2: Convert to fraction form
    7,723/11,584.50 = 2,251/x
  3. Step 3: Cross multiply
    7,723x = 11,584.50 × 2,251
  4. Step 4: Simplify right side
    7,723x = 26,076,709.50
  5. Step 5: Solve for x
    x = 26,076,709.50/7,723
  6. Step 6: Final answer
    x = 3,376.50

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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.