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Finding the Fourth Proportional to 8,122.54, 12,178.86 and 3,194.50

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Solution

The fourth proportional to 8,122.54, 12,178.86 and 3,194.50 is: 4,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.54 : 12,178.86 = 3,194.50 : x
  2. Step 2: Convert to fraction form
    8,122.54/12,178.86 = 3,194.50/x
  3. Step 3: Cross multiply
    8,122.54x = 12,178.86 × 3,194.50
  4. Step 4: Simplify right side
    8,122.54x = 38,905,368.27
  5. Step 5: Solve for x
    x = 38,905,368.27/8,122.54
  6. Step 6: Final answer
    x = 4,789.80

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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.