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Finding the Fourth Proportional to 7,841.23, 10,819.49 and 4,438.22

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Solution

The fourth proportional to 7,841.23, 10,819.49 and 4,438.22 is: 6,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.23 : 10,819.49 = 4,438.22 : x
  2. Step 2: Convert to fraction form
    7,841.23/10,819.49 = 4,438.22/x
  3. Step 3: Cross multiply
    7,841.23x = 10,819.49 × 4,438.22
  4. Step 4: Simplify right side
    7,841.23x = 48,019,276.91
  5. Step 5: Solve for x
    x = 48,019,276.91/7,841.23
  6. Step 6: Final answer
    x = 6,123.95

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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.