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Finding the Fourth Proportional to 8,469.80, 11,684.28 and 5,638.48

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Solution

The fourth proportional to 8,469.80, 11,684.28 and 5,638.48 is: 7,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.80 : 11,684.28 = 5,638.48 : x
  2. Step 2: Convert to fraction form
    8,469.80/11,684.28 = 5,638.48/x
  3. Step 3: Cross multiply
    8,469.80x = 11,684.28 × 5,638.48
  4. Step 4: Simplify right side
    8,469.80x = 65,881,579.09
  5. Step 5: Solve for x
    x = 65,881,579.09/8,469.80
  6. Step 6: Final answer
    x = 7,778.41

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