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Finding the Fourth Proportional to 10,773.52, 16,160.29 and 3,378.63

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Solution

The fourth proportional to 10,773.52, 16,160.29 and 3,378.63 is: 5,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.52 : 16,160.29 = 3,378.63 : x
  2. Step 2: Convert to fraction form
    10,773.52/16,160.29 = 3,378.63/x
  3. Step 3: Cross multiply
    10,773.52x = 16,160.29 × 3,378.63
  4. Step 4: Simplify right side
    10,773.52x = 54,599,583.31
  5. Step 5: Solve for x
    x = 54,599,583.31/10,773.52
  6. Step 6: Final answer
    x = 5,067.94

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Why These Related Problems?

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