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Finding the Fourth Proportional to 11,772.37, 16,230 and 10,086.49

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Solution

The fourth proportional to 11,772.37, 16,230 and 10,086.49 is: 13,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.37 : 16,230 = 10,086.49 : x
  2. Step 2: Convert to fraction form
    11,772.37/16,230 = 10,086.49/x
  3. Step 3: Cross multiply
    11,772.37x = 16,230 × 10,086.49
  4. Step 4: Simplify right side
    11,772.37x = 163,703,732.70
  5. Step 5: Solve for x
    x = 163,703,732.70/11,772.37
  6. Step 6: Final answer
    x = 13,905.76

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