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Finding the Fourth Proportional to 12,118.52, 18,177.78 and 5,197.88

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Solution

The fourth proportional to 12,118.52, 18,177.78 and 5,197.88 is: 7,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.52 : 18,177.78 = 5,197.88 : x
  2. Step 2: Convert to fraction form
    12,118.52/18,177.78 = 5,197.88/x
  3. Step 3: Cross multiply
    12,118.52x = 18,177.78 × 5,197.88
  4. Step 4: Simplify right side
    12,118.52x = 94,485,919.11
  5. Step 5: Solve for x
    x = 94,485,919.11/12,118.52
  6. Step 6: Final answer
    x = 7,796.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.