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Finding the Fourth Proportional to 7,839.88, 10,819.39 and 4,696

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Solution

The fourth proportional to 7,839.88, 10,819.39 and 4,696 is: 6,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.88 : 10,819.39 = 4,696 : x
  2. Step 2: Convert to fraction form
    7,839.88/10,819.39 = 4,696/x
  3. Step 3: Cross multiply
    7,839.88x = 10,819.39 × 4,696
  4. Step 4: Simplify right side
    7,839.88x = 50,807,855.44
  5. Step 5: Solve for x
    x = 50,807,855.44/7,839.88
  6. Step 6: Final answer
    x = 6,480.69

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