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Finding the Fourth Proportional to 7,586.75, 11,379.77 and 2,657.49

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Solution

The fourth proportional to 7,586.75, 11,379.77 and 2,657.49 is: 3,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.75 : 11,379.77 = 2,657.49 : x
  2. Step 2: Convert to fraction form
    7,586.75/11,379.77 = 2,657.49/x
  3. Step 3: Cross multiply
    7,586.75x = 11,379.77 × 2,657.49
  4. Step 4: Simplify right side
    7,586.75x = 30,241,611.69
  5. Step 5: Solve for x
    x = 30,241,611.69/7,586.75
  6. Step 6: Final answer
    x = 3,986.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.