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Finding the Fourth Proportional to 10,782.96, 16,174.29 and 3,387.87

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Solution

The fourth proportional to 10,782.96, 16,174.29 and 3,387.87 is: 5,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.96 : 16,174.29 = 3,387.87 : x
  2. Step 2: Convert to fraction form
    10,782.96/16,174.29 = 3,387.87/x
  3. Step 3: Cross multiply
    10,782.96x = 16,174.29 × 3,387.87
  4. Step 4: Simplify right side
    10,782.96x = 54,796,343.91
  5. Step 5: Solve for x
    x = 54,796,343.91/10,782.96
  6. Step 6: Final answer
    x = 5,081.75

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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.