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Finding the Fourth Proportional to 11,906.64, 17,862.53 and 3,586.01

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Solution

The fourth proportional to 11,906.64, 17,862.53 and 3,586.01 is: 5,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.64 : 17,862.53 = 3,586.01 : x
  2. Step 2: Convert to fraction form
    11,906.64/17,862.53 = 3,586.01/x
  3. Step 3: Cross multiply
    11,906.64x = 17,862.53 × 3,586.01
  4. Step 4: Simplify right side
    11,906.64x = 64,055,211.21
  5. Step 5: Solve for x
    x = 64,055,211.21/11,906.64
  6. Step 6: Final answer
    x = 5,379.79

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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.