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Finding the Fourth Proportional to 11,780.52, 17,664.48 and 6,219.80

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Solution

The fourth proportional to 11,780.52, 17,664.48 and 6,219.80 is: 9,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.52 : 17,664.48 = 6,219.80 : x
  2. Step 2: Convert to fraction form
    11,780.52/17,664.48 = 6,219.80/x
  3. Step 3: Cross multiply
    11,780.52x = 17,664.48 × 6,219.80
  4. Step 4: Simplify right side
    11,780.52x = 109,869,532.70
  5. Step 5: Solve for x
    x = 109,869,532.70/11,780.52
  6. Step 6: Final answer
    x = 9,326.37

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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.