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Finding the Fourth Proportional to 10,783.58, 16,177 and 3,387.34

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Solution

The fourth proportional to 10,783.58, 16,177 and 3,387.34 is: 5,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.58 : 16,177 = 3,387.34 : x
  2. Step 2: Convert to fraction form
    10,783.58/16,177 = 3,387.34/x
  3. Step 3: Cross multiply
    10,783.58x = 16,177 × 3,387.34
  4. Step 4: Simplify right side
    10,783.58x = 54,797,039.62
  5. Step 5: Solve for x
    x = 54,797,039.62/10,783.58
  6. Step 6: Final answer
    x = 5,081.53

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