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Finding the Fourth Proportional to 12,080.85, 16,671.33 and 6,777.38

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Solution

The fourth proportional to 12,080.85, 16,671.33 and 6,777.38 is: 9,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.85 : 16,671.33 = 6,777.38 : x
  2. Step 2: Convert to fraction form
    12,080.85/16,671.33 = 6,777.38/x
  3. Step 3: Cross multiply
    12,080.85x = 16,671.33 × 6,777.38
  4. Step 4: Simplify right side
    12,080.85x = 112,987,855.16
  5. Step 5: Solve for x
    x = 112,987,855.16/12,080.85
  6. Step 6: Final answer
    x = 9,352.64

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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.