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Finding the Fourth Proportional to 11,891.38, 16,410.60 and 6,586.20

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Solution

The fourth proportional to 11,891.38, 16,410.60 and 6,586.20 is: 9,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.38 : 16,410.60 = 6,586.20 : x
  2. Step 2: Convert to fraction form
    11,891.38/16,410.60 = 6,586.20/x
  3. Step 3: Cross multiply
    11,891.38x = 16,410.60 × 6,586.20
  4. Step 4: Simplify right side
    11,891.38x = 108,083,493.72
  5. Step 5: Solve for x
    x = 108,083,493.72/11,891.38
  6. Step 6: Final answer
    x = 9,089.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.