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Finding the Fourth Proportional to 11,893.61, 17,840.31 and 3,574.34

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Solution

The fourth proportional to 11,893.61, 17,840.31 and 3,574.34 is: 5,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.61 : 17,840.31 = 3,574.34 : x
  2. Step 2: Convert to fraction form
    11,893.61/17,840.31 = 3,574.34/x
  3. Step 3: Cross multiply
    11,893.61x = 17,840.31 × 3,574.34
  4. Step 4: Simplify right side
    11,893.61x = 63,767,333.65
  5. Step 5: Solve for x
    x = 63,767,333.65/11,893.61
  6. Step 6: Final answer
    x = 5,361.48

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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.