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Finding the Fourth Proportional to 10,777.24, 16,163.10 and 4,199.80

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Solution

The fourth proportional to 10,777.24, 16,163.10 and 4,199.80 is: 6,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.24 : 16,163.10 = 4,199.80 : x
  2. Step 2: Convert to fraction form
    10,777.24/16,163.10 = 4,199.80/x
  3. Step 3: Cross multiply
    10,777.24x = 16,163.10 × 4,199.80
  4. Step 4: Simplify right side
    10,777.24x = 67,881,787.38
  5. Step 5: Solve for x
    x = 67,881,787.38/10,777.24
  6. Step 6: Final answer
    x = 6,298.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.