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Finding the Fourth Proportional to 10,480.77, 14,459.18 and 5,942.49

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Solution

The fourth proportional to 10,480.77, 14,459.18 and 5,942.49 is: 8,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.77 : 14,459.18 = 5,942.49 : x
  2. Step 2: Convert to fraction form
    10,480.77/14,459.18 = 5,942.49/x
  3. Step 3: Cross multiply
    10,480.77x = 14,459.18 × 5,942.49
  4. Step 4: Simplify right side
    10,480.77x = 85,923,539.43
  5. Step 5: Solve for x
    x = 85,923,539.43/10,480.77
  6. Step 6: Final answer
    x = 8,198.21

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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.