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Finding the Fourth Proportional to 8,736.78, 13,105.20 and 2,580.78

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Solution

The fourth proportional to 8,736.78, 13,105.20 and 2,580.78 is: 3,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.78 : 13,105.20 = 2,580.78 : x
  2. Step 2: Convert to fraction form
    8,736.78/13,105.20 = 2,580.78/x
  3. Step 3: Cross multiply
    8,736.78x = 13,105.20 × 2,580.78
  4. Step 4: Simplify right side
    8,736.78x = 33,821,638.06
  5. Step 5: Solve for x
    x = 33,821,638.06/8,736.78
  6. Step 6: Final answer
    x = 3,871.18

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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.