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Finding the Fourth Proportional to 11,911.85, 16,439.36 and 6,608.38

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Solution

The fourth proportional to 11,911.85, 16,439.36 and 6,608.38 is: 9,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.85 : 16,439.36 = 6,608.38 : x
  2. Step 2: Convert to fraction form
    11,911.85/16,439.36 = 6,608.38/x
  3. Step 3: Cross multiply
    11,911.85x = 16,439.36 × 6,608.38
  4. Step 4: Simplify right side
    11,911.85x = 108,637,422.60
  5. Step 5: Solve for x
    x = 108,637,422.60/11,911.85
  6. Step 6: Final answer
    x = 9,120.11

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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.