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Finding the Fourth Proportional to 8,410.88, 11,600.80 and 6,172

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Solution

The fourth proportional to 8,410.88, 11,600.80 and 6,172 is: 8,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.88 : 11,600.80 = 6,172 : x
  2. Step 2: Convert to fraction form
    8,410.88/11,600.80 = 6,172/x
  3. Step 3: Cross multiply
    8,410.88x = 11,600.80 × 6,172
  4. Step 4: Simplify right side
    8,410.88x = 71,600,137.60
  5. Step 5: Solve for x
    x = 71,600,137.60/8,410.88
  6. Step 6: Final answer
    x = 8,512.80

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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.