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Finding the Fourth Proportional to 10,825.60, 16,230.30 and 5,900.80

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Solution

The fourth proportional to 10,825.60, 16,230.30 and 5,900.80 is: 8,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.60 : 16,230.30 = 5,900.80 : x
  2. Step 2: Convert to fraction form
    10,825.60/16,230.30 = 5,900.80/x
  3. Step 3: Cross multiply
    10,825.60x = 16,230.30 × 5,900.80
  4. Step 4: Simplify right side
    10,825.60x = 95,771,754.24
  5. Step 5: Solve for x
    x = 95,771,754.24/10,825.60
  6. Step 6: Final answer
    x = 8,846.78

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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.