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Finding the Fourth Proportional to 10,782.48, 16,169.69 and 3,760.69

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Solution

The fourth proportional to 10,782.48, 16,169.69 and 3,760.69 is: 5,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.48 : 16,169.69 = 3,760.69 : x
  2. Step 2: Convert to fraction form
    10,782.48/16,169.69 = 3,760.69/x
  3. Step 3: Cross multiply
    10,782.48x = 16,169.69 × 3,760.69
  4. Step 4: Simplify right side
    10,782.48x = 60,809,191.49
  5. Step 5: Solve for x
    x = 60,809,191.49/10,782.48
  6. Step 6: Final answer
    x = 5,639.63

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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.