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Finding the Fourth Proportional to 11,839.76, 16,338.23 and 7,363.39

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Solution

The fourth proportional to 11,839.76, 16,338.23 and 7,363.39 is: 10,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.76 : 16,338.23 = 7,363.39 : x
  2. Step 2: Convert to fraction form
    11,839.76/16,338.23 = 7,363.39/x
  3. Step 3: Cross multiply
    11,839.76x = 16,338.23 × 7,363.39
  4. Step 4: Simplify right side
    11,839.76x = 120,304,677.71
  5. Step 5: Solve for x
    x = 120,304,677.71/11,839.76
  6. Step 6: Final answer
    x = 10,161.07

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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.