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Finding the Fourth Proportional to 11,604.75, 16,014.57 and 6,299.57

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Solution

The fourth proportional to 11,604.75, 16,014.57 and 6,299.57 is: 8,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.75 : 16,014.57 = 6,299.57 : x
  2. Step 2: Convert to fraction form
    11,604.75/16,014.57 = 6,299.57/x
  3. Step 3: Cross multiply
    11,604.75x = 16,014.57 × 6,299.57
  4. Step 4: Simplify right side
    11,604.75x = 100,884,904.73
  5. Step 5: Solve for x
    x = 100,884,904.73/11,604.75
  6. Step 6: Final answer
    x = 8,693.41

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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.