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Finding the Fourth Proportional to 10,396.21, 14,346.73 and 5,680.49

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Solution

The fourth proportional to 10,396.21, 14,346.73 and 5,680.49 is: 7,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.21 : 14,346.73 = 5,680.49 : x
  2. Step 2: Convert to fraction form
    10,396.21/14,346.73 = 5,680.49/x
  3. Step 3: Cross multiply
    10,396.21x = 14,346.73 × 5,680.49
  4. Step 4: Simplify right side
    10,396.21x = 81,496,456.30
  5. Step 5: Solve for x
    x = 81,496,456.30/10,396.21
  6. Step 6: Final answer
    x = 7,839.05

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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.