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Finding the Fourth Proportional to 8,118.70, 12,178.17 and 2,274.94

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Solution

The fourth proportional to 8,118.70, 12,178.17 and 2,274.94 is: 3,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.70 : 12,178.17 = 2,274.94 : x
  2. Step 2: Convert to fraction form
    8,118.70/12,178.17 = 2,274.94/x
  3. Step 3: Cross multiply
    8,118.70x = 12,178.17 × 2,274.94
  4. Step 4: Simplify right side
    8,118.70x = 27,704,606.06
  5. Step 5: Solve for x
    x = 27,704,606.06/8,118.70
  6. Step 6: Final answer
    x = 3,412.44

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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.