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Finding the Fourth Proportional to 8,177.44, 12,266 and 2,334

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Solution

The fourth proportional to 8,177.44, 12,266 and 2,334 is: 3,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.44 : 12,266 = 2,334 : x
  2. Step 2: Convert to fraction form
    8,177.44/12,266 = 2,334/x
  3. Step 3: Cross multiply
    8,177.44x = 12,266 × 2,334
  4. Step 4: Simplify right side
    8,177.44x = 28,628,844
  5. Step 5: Solve for x
    x = 28,628,844/8,177.44
  6. Step 6: Final answer
    x = 3,500.95

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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.