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Finding the Fourth Proportional to 10,762.88, 16,143.87 and 3,744.48

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Solution

The fourth proportional to 10,762.88, 16,143.87 and 3,744.48 is: 5,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.88 : 16,143.87 = 3,744.48 : x
  2. Step 2: Convert to fraction form
    10,762.88/16,143.87 = 3,744.48/x
  3. Step 3: Cross multiply
    10,762.88x = 16,143.87 × 3,744.48
  4. Step 4: Simplify right side
    10,762.88x = 60,450,472.92
  5. Step 5: Solve for x
    x = 60,450,472.92/10,762.88
  6. Step 6: Final answer
    x = 5,616.57

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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.