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Finding the Fourth Proportional to 8,114.44, 12,169.80 and 2,271.64

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Solution

The fourth proportional to 8,114.44, 12,169.80 and 2,271.64 is: 3,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.44 : 12,169.80 = 2,271.64 : x
  2. Step 2: Convert to fraction form
    8,114.44/12,169.80 = 2,271.64/x
  3. Step 3: Cross multiply
    8,114.44x = 12,169.80 × 2,271.64
  4. Step 4: Simplify right side
    8,114.44x = 27,645,404.47
  5. Step 5: Solve for x
    x = 27,645,404.47/8,114.44
  6. Step 6: Final answer
    x = 3,406.94

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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.