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Finding the Fourth Proportional to 8,154.48, 12,230.10 and 3,992.70

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Solution

The fourth proportional to 8,154.48, 12,230.10 and 3,992.70 is: 5,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.48 : 12,230.10 = 3,992.70 : x
  2. Step 2: Convert to fraction form
    8,154.48/12,230.10 = 3,992.70/x
  3. Step 3: Cross multiply
    8,154.48x = 12,230.10 × 3,992.70
  4. Step 4: Simplify right side
    8,154.48x = 48,831,120.27
  5. Step 5: Solve for x
    x = 48,831,120.27/8,154.48
  6. Step 6: Final answer
    x = 5,988.26

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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.