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Finding the Fourth Proportional to 8,177.83, 12,266.72 and 2,021.83

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Solution

The fourth proportional to 8,177.83, 12,266.72 and 2,021.83 is: 3,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.83 : 12,266.72 = 2,021.83 : x
  2. Step 2: Convert to fraction form
    8,177.83/12,266.72 = 2,021.83/x
  3. Step 3: Cross multiply
    8,177.83x = 12,266.72 × 2,021.83
  4. Step 4: Simplify right side
    8,177.83x = 24,801,212.39
  5. Step 5: Solve for x
    x = 24,801,212.39/8,177.83
  6. Step 6: Final answer
    x = 3,032.74

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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.