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Finding the Fourth Proportional to 11,880, 16,398.72 and 8,164.80

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Solution

The fourth proportional to 11,880, 16,398.72 and 8,164.80 is: 11,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 16,398.72 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    11,880/16,398.72 = 8,164.80/x
  3. Step 3: Cross multiply
    11,880x = 16,398.72 × 8,164.80
  4. Step 4: Simplify right side
    11,880x = 133,892,269.06
  5. Step 5: Solve for x
    x = 133,892,269.06/11,880
  6. Step 6: Final answer
    x = 11,270.39

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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.