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Finding the Fourth Proportional to 8,148.72, 12,223.12 and 1,992.72

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Solution

The fourth proportional to 8,148.72, 12,223.12 and 1,992.72 is: 2,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.72 : 12,223.12 = 1,992.72 : x
  2. Step 2: Convert to fraction form
    8,148.72/12,223.12 = 1,992.72/x
  3. Step 3: Cross multiply
    8,148.72x = 12,223.12 × 1,992.72
  4. Step 4: Simplify right side
    8,148.72x = 24,357,255.69
  5. Step 5: Solve for x
    x = 24,357,255.69/8,148.72
  6. Step 6: Final answer
    x = 2,989.09

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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.