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Finding the Fourth Proportional to 6,410.21, 8,839.26 and 5,063.45

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Solution

The fourth proportional to 6,410.21, 8,839.26 and 5,063.45 is: 6,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.21 : 8,839.26 = 5,063.45 : x
  2. Step 2: Convert to fraction form
    6,410.21/8,839.26 = 5,063.45/x
  3. Step 3: Cross multiply
    6,410.21x = 8,839.26 × 5,063.45
  4. Step 4: Simplify right side
    6,410.21x = 44,757,151.05
  5. Step 5: Solve for x
    x = 44,757,151.05/6,410.21
  6. Step 6: Final answer
    x = 6,982.17

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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.