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Finding the Fourth Proportional to 11,863.41, 17,802 and 4,842.33

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Solution

The fourth proportional to 11,863.41, 17,802 and 4,842.33 is: 7,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.41 : 17,802 = 4,842.33 : x
  2. Step 2: Convert to fraction form
    11,863.41/17,802 = 4,842.33/x
  3. Step 3: Cross multiply
    11,863.41x = 17,802 × 4,842.33
  4. Step 4: Simplify right side
    11,863.41x = 86,203,158.66
  5. Step 5: Solve for x
    x = 86,203,158.66/11,863.41
  6. Step 6: Final answer
    x = 7,266.31

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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.