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Finding the Fourth Proportional to 11,904.10, 17,843.91 and 8,009.62

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Solution

The fourth proportional to 11,904.10, 17,843.91 and 8,009.62 is: 12,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.10 : 17,843.91 = 8,009.62 : x
  2. Step 2: Convert to fraction form
    11,904.10/17,843.91 = 8,009.62/x
  3. Step 3: Cross multiply
    11,904.10x = 17,843.91 × 8,009.62
  4. Step 4: Simplify right side
    11,904.10x = 142,922,938.41
  5. Step 5: Solve for x
    x = 142,922,938.41/11,904.10
  6. Step 6: Final answer
    x = 12,006.19

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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.