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Finding the Fourth Proportional to 11,913.68, 17,868.50 and 3,149.48

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Solution

The fourth proportional to 11,913.68, 17,868.50 and 3,149.48 is: 4,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.68 : 17,868.50 = 3,149.48 : x
  2. Step 2: Convert to fraction form
    11,913.68/17,868.50 = 3,149.48/x
  3. Step 3: Cross multiply
    11,913.68x = 17,868.50 × 3,149.48
  4. Step 4: Simplify right side
    11,913.68x = 56,276,524.11
  5. Step 5: Solve for x
    x = 56,276,524.11/11,913.68
  6. Step 6: Final answer
    x = 4,723.69

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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.