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Finding the Fourth Proportional to 8,536.29, 12,805.80 and 3,605.97

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Solution

The fourth proportional to 8,536.29, 12,805.80 and 3,605.97 is: 5,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.29 : 12,805.80 = 3,605.97 : x
  2. Step 2: Convert to fraction form
    8,536.29/12,805.80 = 3,605.97/x
  3. Step 3: Cross multiply
    8,536.29x = 12,805.80 × 3,605.97
  4. Step 4: Simplify right side
    8,536.29x = 46,177,293.09
  5. Step 5: Solve for x
    x = 46,177,293.09/8,536.29
  6. Step 6: Final answer
    x = 5,409.53

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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.