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Finding the Fourth Proportional to 11,604.96, 16,014.75 and 6,299.67

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Solution

The fourth proportional to 11,604.96, 16,014.75 and 6,299.67 is: 8,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.96 : 16,014.75 = 6,299.67 : x
  2. Step 2: Convert to fraction form
    11,604.96/16,014.75 = 6,299.67/x
  3. Step 3: Cross multiply
    11,604.96x = 16,014.75 × 6,299.67
  4. Step 4: Simplify right side
    11,604.96x = 100,887,560.06
  5. Step 5: Solve for x
    x = 100,887,560.06/11,604.96
  6. Step 6: Final answer
    x = 8,693.49

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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.