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Finding the Fourth Proportional to 7,782.38, 11,672.13 and 2,586.86

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Solution

The fourth proportional to 7,782.38, 11,672.13 and 2,586.86 is: 3,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.38 : 11,672.13 = 2,586.86 : x
  2. Step 2: Convert to fraction form
    7,782.38/11,672.13 = 2,586.86/x
  3. Step 3: Cross multiply
    7,782.38x = 11,672.13 × 2,586.86
  4. Step 4: Simplify right side
    7,782.38x = 30,194,166.21
  5. Step 5: Solve for x
    x = 30,194,166.21/7,782.38
  6. Step 6: Final answer
    x = 3,879.81

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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.