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Finding the Fourth Proportional to 6,819.78, 10,229.66 and 4,623.06

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Solution

The fourth proportional to 6,819.78, 10,229.66 and 4,623.06 is: 6,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.78 : 10,229.66 = 4,623.06 : x
  2. Step 2: Convert to fraction form
    6,819.78/10,229.66 = 4,623.06/x
  3. Step 3: Cross multiply
    6,819.78x = 10,229.66 × 4,623.06
  4. Step 4: Simplify right side
    6,819.78x = 47,292,331.96
  5. Step 5: Solve for x
    x = 47,292,331.96/6,819.78
  6. Step 6: Final answer
    x = 6,934.58

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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.