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Finding the Fourth Proportional to 11,894.43, 17,852.72 and 6,055.41

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Solution

The fourth proportional to 11,894.43, 17,852.72 and 6,055.41 is: 9,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.43 : 17,852.72 = 6,055.41 : x
  2. Step 2: Convert to fraction form
    11,894.43/17,852.72 = 6,055.41/x
  3. Step 3: Cross multiply
    11,894.43x = 17,852.72 × 6,055.41
  4. Step 4: Simplify right side
    11,894.43x = 108,105,539.22
  5. Step 5: Solve for x
    x = 108,105,539.22/11,894.43
  6. Step 6: Final answer
    x = 9,088.75

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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.