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Finding the Fourth Proportional to 10,861.37, 14,989.19 and 8,499.41

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Solution

The fourth proportional to 10,861.37, 14,989.19 and 8,499.41 is: 11,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.37 : 14,989.19 = 8,499.41 : x
  2. Step 2: Convert to fraction form
    10,861.37/14,989.19 = 8,499.41/x
  3. Step 3: Cross multiply
    10,861.37x = 14,989.19 × 8,499.41
  4. Step 4: Simplify right side
    10,861.37x = 127,399,228.88
  5. Step 5: Solve for x
    x = 127,399,228.88/10,861.37
  6. Step 6: Final answer
    x = 11,729.57

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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.