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Finding the Fourth Proportional to 8,153.98, 12,229.35 and 3,992.20

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Solution

The fourth proportional to 8,153.98, 12,229.35 and 3,992.20 is: 5,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.98 : 12,229.35 = 3,992.20 : x
  2. Step 2: Convert to fraction form
    8,153.98/12,229.35 = 3,992.20/x
  3. Step 3: Cross multiply
    8,153.98x = 12,229.35 × 3,992.20
  4. Step 4: Simplify right side
    8,153.98x = 48,822,011.07
  5. Step 5: Solve for x
    x = 48,822,011.07/8,153.98
  6. Step 6: Final answer
    x = 5,987.51

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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.