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Finding the Fourth Proportional to 10,762.88, 16,143.71 and 3,366.47

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Solution

The fourth proportional to 10,762.88, 16,143.71 and 3,366.47 is: 5,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.88 : 16,143.71 = 3,366.47 : x
  2. Step 2: Convert to fraction form
    10,762.88/16,143.71 = 3,366.47/x
  3. Step 3: Cross multiply
    10,762.88x = 16,143.71 × 3,366.47
  4. Step 4: Simplify right side
    10,762.88x = 54,347,217.85
  5. Step 5: Solve for x
    x = 54,347,217.85/10,762.88
  6. Step 6: Final answer
    x = 5,049.51

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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.