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Finding the Fourth Proportional to 11,894.80, 17,853.28 and 6,055.78

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Solution

The fourth proportional to 11,894.80, 17,853.28 and 6,055.78 is: 9,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.80 : 17,853.28 = 6,055.78 : x
  2. Step 2: Convert to fraction form
    11,894.80/17,853.28 = 6,055.78/x
  3. Step 3: Cross multiply
    11,894.80x = 17,853.28 × 6,055.78
  4. Step 4: Simplify right side
    11,894.80x = 108,115,535.96
  5. Step 5: Solve for x
    x = 108,115,535.96/11,894.80
  6. Step 6: Final answer
    x = 9,089.31

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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.