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Finding the Fourth Proportional to 10,782.88, 16,174.31 and 2,991.69

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Solution

The fourth proportional to 10,782.88, 16,174.31 and 2,991.69 is: 4,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.88 : 16,174.31 = 2,991.69 : x
  2. Step 2: Convert to fraction form
    10,782.88/16,174.31 = 2,991.69/x
  3. Step 3: Cross multiply
    10,782.88x = 16,174.31 × 2,991.69
  4. Step 4: Simplify right side
    10,782.88x = 48,388,521.48
  5. Step 5: Solve for x
    x = 48,388,521.48/10,782.88
  6. Step 6: Final answer
    x = 4,487.53

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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.