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Finding the Fourth Proportional to 8,580.21, 11,837.21 and 5,220.33

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Solution

The fourth proportional to 8,580.21, 11,837.21 and 5,220.33 is: 7,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.21 : 11,837.21 = 5,220.33 : x
  2. Step 2: Convert to fraction form
    8,580.21/11,837.21 = 5,220.33/x
  3. Step 3: Cross multiply
    8,580.21x = 11,837.21 × 5,220.33
  4. Step 4: Simplify right side
    8,580.21x = 61,794,116.38
  5. Step 5: Solve for x
    x = 61,794,116.38/8,580.21
  6. Step 6: Final answer
    x = 7,201.94

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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.