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Finding the Fourth Proportional to 8,178.98, 12,274.68 and 5,993.42

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Solution

The fourth proportional to 8,178.98, 12,274.68 and 5,993.42 is: 8,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.98 : 12,274.68 = 5,993.42 : x
  2. Step 2: Convert to fraction form
    8,178.98/12,274.68 = 5,993.42/x
  3. Step 3: Cross multiply
    8,178.98x = 12,274.68 × 5,993.42
  4. Step 4: Simplify right side
    8,178.98x = 73,567,251.23
  5. Step 5: Solve for x
    x = 73,567,251.23/8,178.98
  6. Step 6: Final answer
    x = 8,994.68

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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.