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Finding the Fourth Proportional to 7,806.03, 10,771.25 and 4,448.21

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Solution

The fourth proportional to 7,806.03, 10,771.25 and 4,448.21 is: 6,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.03 : 10,771.25 = 4,448.21 : x
  2. Step 2: Convert to fraction form
    7,806.03/10,771.25 = 4,448.21/x
  3. Step 3: Cross multiply
    7,806.03x = 10,771.25 × 4,448.21
  4. Step 4: Simplify right side
    7,806.03x = 47,912,705.87
  5. Step 5: Solve for x
    x = 47,912,705.87/7,806.03
  6. Step 6: Final answer
    x = 6,137.91

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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.