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Finding the Fourth Proportional to 12,033.87, 16,611.80 and 7,319.79

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Solution

The fourth proportional to 12,033.87, 16,611.80 and 7,319.79 is: 10,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.87 : 16,611.80 = 7,319.79 : x
  2. Step 2: Convert to fraction form
    12,033.87/16,611.80 = 7,319.79/x
  3. Step 3: Cross multiply
    12,033.87x = 16,611.80 × 7,319.79
  4. Step 4: Simplify right side
    12,033.87x = 121,594,850.92
  5. Step 5: Solve for x
    x = 121,594,850.92/12,033.87
  6. Step 6: Final answer
    x = 10,104.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.