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Finding the Fourth Proportional to 8,148.94, 12,234.24 and 5,228.62

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Solution

The fourth proportional to 8,148.94, 12,234.24 and 5,228.62 is: 7,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.94 : 12,234.24 = 5,228.62 : x
  2. Step 2: Convert to fraction form
    8,148.94/12,234.24 = 5,228.62/x
  3. Step 3: Cross multiply
    8,148.94x = 12,234.24 × 5,228.62
  4. Step 4: Simplify right side
    8,148.94x = 63,968,191.95
  5. Step 5: Solve for x
    x = 63,968,191.95/8,148.94
  6. Step 6: Final answer
    x = 7,849.88

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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.