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Finding the Fourth Proportional to 8,761, 13,137.54 and 2,519.58

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Solution

The fourth proportional to 8,761, 13,137.54 and 2,519.58 is: 3,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761 : 13,137.54 = 2,519.58 : x
  2. Step 2: Convert to fraction form
    8,761/13,137.54 = 2,519.58/x
  3. Step 3: Cross multiply
    8,761x = 13,137.54 × 2,519.58
  4. Step 4: Simplify right side
    8,761x = 33,101,083.03
  5. Step 5: Solve for x
    x = 33,101,083.03/8,761
  6. Step 6: Final answer
    x = 3,778.23

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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.