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Finding the Fourth Proportional to 10,908.64, 16,360.38 and 5,062

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Solution

The fourth proportional to 10,908.64, 16,360.38 and 5,062 is: 7,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.64 : 16,360.38 = 5,062 : x
  2. Step 2: Convert to fraction form
    10,908.64/16,360.38 = 5,062/x
  3. Step 3: Cross multiply
    10,908.64x = 16,360.38 × 5,062
  4. Step 4: Simplify right side
    10,908.64x = 82,816,243.56
  5. Step 5: Solve for x
    x = 82,816,243.56/10,908.64
  6. Step 6: Final answer
    x = 7,591.80

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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.