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Finding the Fourth Proportional to 7,586.50, 11,379.73 and 2,039.84

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Solution

The fourth proportional to 7,586.50, 11,379.73 and 2,039.84 is: 3,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.50 : 11,379.73 = 2,039.84 : x
  2. Step 2: Convert to fraction form
    7,586.50/11,379.73 = 2,039.84/x
  3. Step 3: Cross multiply
    7,586.50x = 11,379.73 × 2,039.84
  4. Step 4: Simplify right side
    7,586.50x = 23,212,828.44
  5. Step 5: Solve for x
    x = 23,212,828.44/7,586.50
  6. Step 6: Final answer
    x = 3,059.75

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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.