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Finding the Fourth Proportional to 8,147.72, 12,222.81 and 2,952.38

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Solution

The fourth proportional to 8,147.72, 12,222.81 and 2,952.38 is: 4,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.72 : 12,222.81 = 2,952.38 : x
  2. Step 2: Convert to fraction form
    8,147.72/12,222.81 = 2,952.38/x
  3. Step 3: Cross multiply
    8,147.72x = 12,222.81 × 2,952.38
  4. Step 4: Simplify right side
    8,147.72x = 36,086,379.79
  5. Step 5: Solve for x
    x = 36,086,379.79/8,147.72
  6. Step 6: Final answer
    x = 4,429.02

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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.