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Finding the Fourth Proportional to 8,301.88, 11,456.31 and 4,524.97

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Solution

The fourth proportional to 8,301.88, 11,456.31 and 4,524.97 is: 6,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.88 : 11,456.31 = 4,524.97 : x
  2. Step 2: Convert to fraction form
    8,301.88/11,456.31 = 4,524.97/x
  3. Step 3: Cross multiply
    8,301.88x = 11,456.31 × 4,524.97
  4. Step 4: Simplify right side
    8,301.88x = 51,839,459.06
  5. Step 5: Solve for x
    x = 51,839,459.06/8,301.88
  6. Step 6: Final answer
    x = 6,244.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.