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Finding the Fourth Proportional to 11,780.20, 17,666.46 and 6,230.44

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Solution

The fourth proportional to 11,780.20, 17,666.46 and 6,230.44 is: 9,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.20 : 17,666.46 = 6,230.44 : x
  2. Step 2: Convert to fraction form
    11,780.20/17,666.46 = 6,230.44/x
  3. Step 3: Cross multiply
    11,780.20x = 17,666.46 × 6,230.44
  4. Step 4: Simplify right side
    11,780.20x = 110,069,819.04
  5. Step 5: Solve for x
    x = 110,069,819.04/11,780.20
  6. Step 6: Final answer
    x = 9,343.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.