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Finding the Fourth Proportional to 8,148.40, 12,230.70 and 3,993.10

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Solution

The fourth proportional to 8,148.40, 12,230.70 and 3,993.10 is: 5,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.40 : 12,230.70 = 3,993.10 : x
  2. Step 2: Convert to fraction form
    8,148.40/12,230.70 = 3,993.10/x
  3. Step 3: Cross multiply
    8,148.40x = 12,230.70 × 3,993.10
  4. Step 4: Simplify right side
    8,148.40x = 48,838,408.17
  5. Step 5: Solve for x
    x = 48,838,408.17/8,148.40
  6. Step 6: Final answer
    x = 5,993.62

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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.