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Finding the Fourth Proportional to 11,894.82, 17,841.54 and 3,574.65

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Solution

The fourth proportional to 11,894.82, 17,841.54 and 3,574.65 is: 5,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.82 : 17,841.54 = 3,574.65 : x
  2. Step 2: Convert to fraction form
    11,894.82/17,841.54 = 3,574.65/x
  3. Step 3: Cross multiply
    11,894.82x = 17,841.54 × 3,574.65
  4. Step 4: Simplify right side
    11,894.82x = 63,777,260.96
  5. Step 5: Solve for x
    x = 63,777,260.96/11,894.82
  6. Step 6: Final answer
    x = 5,361.77

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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.