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Finding the Fourth Proportional to 11,604.57, 16,014.21 and 6,299.37

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Solution

The fourth proportional to 11,604.57, 16,014.21 and 6,299.37 is: 8,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.57 : 16,014.21 = 6,299.37 : x
  2. Step 2: Convert to fraction form
    11,604.57/16,014.21 = 6,299.37/x
  3. Step 3: Cross multiply
    11,604.57x = 16,014.21 × 6,299.37
  4. Step 4: Simplify right side
    11,604.57x = 100,879,410.43
  5. Step 5: Solve for x
    x = 100,879,410.43/11,604.57
  6. Step 6: Final answer
    x = 8,693.08

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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.