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Finding the Fourth Proportional to 11,906.16, 17,859.30 and 3,586.20

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Solution

The fourth proportional to 11,906.16, 17,859.30 and 3,586.20 is: 5,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.16 : 17,859.30 = 3,586.20 : x
  2. Step 2: Convert to fraction form
    11,906.16/17,859.30 = 3,586.20/x
  3. Step 3: Cross multiply
    11,906.16x = 17,859.30 × 3,586.20
  4. Step 4: Simplify right side
    11,906.16x = 64,047,021.66
  5. Step 5: Solve for x
    x = 64,047,021.66/11,906.16
  6. Step 6: Final answer
    x = 5,379.32

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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.