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Finding the Fourth Proportional to 11,142.77, 16,713.32 and 4,119.50

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Solution

The fourth proportional to 11,142.77, 16,713.32 and 4,119.50 is: 6,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.77 : 16,713.32 = 4,119.50 : x
  2. Step 2: Convert to fraction form
    11,142.77/16,713.32 = 4,119.50/x
  3. Step 3: Cross multiply
    11,142.77x = 16,713.32 × 4,119.50
  4. Step 4: Simplify right side
    11,142.77x = 68,850,542.93
  5. Step 5: Solve for x
    x = 68,850,542.93/11,142.77
  6. Step 6: Final answer
    x = 6,178.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.