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Finding the Fourth Proportional to 8,147.92, 12,228.36 and 3,218.80

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Solution

The fourth proportional to 8,147.92, 12,228.36 and 3,218.80 is: 4,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.92 : 12,228.36 = 3,218.80 : x
  2. Step 2: Convert to fraction form
    8,147.92/12,228.36 = 3,218.80/x
  3. Step 3: Cross multiply
    8,147.92x = 12,228.36 × 3,218.80
  4. Step 4: Simplify right side
    8,147.92x = 39,360,645.17
  5. Step 5: Solve for x
    x = 39,360,645.17/8,147.92
  6. Step 6: Final answer
    x = 4,830.76

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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.