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Finding the Fourth Proportional to 8,157.04, 12,233.66 and 3,992.87

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Solution

The fourth proportional to 8,157.04, 12,233.66 and 3,992.87 is: 5,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.04 : 12,233.66 = 3,992.87 : x
  2. Step 2: Convert to fraction form
    8,157.04/12,233.66 = 3,992.87/x
  3. Step 3: Cross multiply
    8,157.04x = 12,233.66 × 3,992.87
  4. Step 4: Simplify right side
    8,157.04x = 48,847,424.62
  5. Step 5: Solve for x
    x = 48,847,424.62/8,157.04
  6. Step 6: Final answer
    x = 5,988.38

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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.