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Finding the Fourth Proportional to 8,261.80, 11,540.60 and 8,261.80

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Solution

The fourth proportional to 8,261.80, 11,540.60 and 8,261.80 is: 11,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.80 : 11,540.60 = 8,261.80 : x
  2. Step 2: Convert to fraction form
    8,261.80/11,540.60 = 8,261.80/x
  3. Step 3: Cross multiply
    8,261.80x = 11,540.60 × 8,261.80
  4. Step 4: Simplify right side
    8,261.80x = 95,346,129.08
  5. Step 5: Solve for x
    x = 95,346,129.08/8,261.80
  6. Step 6: Final answer
    x = 11,540.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.