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Finding the Fourth Proportional to 7,586, 11,380.60 and 2,321.44

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Solution

The fourth proportional to 7,586, 11,380.60 and 2,321.44 is: 3,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 11,380.60 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    7,586/11,380.60 = 2,321.44/x
  3. Step 3: Cross multiply
    7,586x = 11,380.60 × 2,321.44
  4. Step 4: Simplify right side
    7,586x = 26,419,380.06
  5. Step 5: Solve for x
    x = 26,419,380.06/7,586
  6. Step 6: Final answer
    x = 3,482.65

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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.