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Finding the Fourth Proportional to 8,301.69, 11,456.17 and 4,524.90

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Solution

The fourth proportional to 8,301.69, 11,456.17 and 4,524.90 is: 6,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.69 : 11,456.17 = 4,524.90 : x
  2. Step 2: Convert to fraction form
    8,301.69/11,456.17 = 4,524.90/x
  3. Step 3: Cross multiply
    8,301.69x = 11,456.17 × 4,524.90
  4. Step 4: Simplify right side
    8,301.69x = 51,837,969.36
  5. Step 5: Solve for x
    x = 51,837,969.36/8,301.69
  6. Step 6: Final answer
    x = 6,244.27

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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.