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Finding the Fourth Proportional to 11,859.36, 16,371.84 and 7,384.56

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Solution

The fourth proportional to 11,859.36, 16,371.84 and 7,384.56 is: 10,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.36 : 16,371.84 = 7,384.56 : x
  2. Step 2: Convert to fraction form
    11,859.36/16,371.84 = 7,384.56/x
  3. Step 3: Cross multiply
    11,859.36x = 16,371.84 × 7,384.56
  4. Step 4: Simplify right side
    11,859.36x = 120,898,834.79
  5. Step 5: Solve for x
    x = 120,898,834.79/11,859.36
  6. Step 6: Final answer
    x = 10,194.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.