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Finding the Fourth Proportional to 11,142.46, 16,712.90 and 4,119.22

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Solution

The fourth proportional to 11,142.46, 16,712.90 and 4,119.22 is: 6,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.46 : 16,712.90 = 4,119.22 : x
  2. Step 2: Convert to fraction form
    11,142.46/16,712.90 = 4,119.22/x
  3. Step 3: Cross multiply
    11,142.46x = 16,712.90 × 4,119.22
  4. Step 4: Simplify right side
    11,142.46x = 68,844,127.68
  5. Step 5: Solve for x
    x = 68,844,127.68/11,142.46
  6. Step 6: Final answer
    x = 6,178.54

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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.