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Finding the Fourth Proportional to 12,584.80, 18,891.79 and 6,752.80

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Solution

The fourth proportional to 12,584.80, 18,891.79 and 6,752.80 is: 10,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.80 : 18,891.79 = 6,752.80 : x
  2. Step 2: Convert to fraction form
    12,584.80/18,891.79 = 6,752.80/x
  3. Step 3: Cross multiply
    12,584.80x = 18,891.79 × 6,752.80
  4. Step 4: Simplify right side
    12,584.80x = 127,572,479.51
  5. Step 5: Solve for x
    x = 127,572,479.51/12,584.80
  6. Step 6: Final answer
    x = 10,137.03

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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.