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Finding the Fourth Proportional to 11,715.99, 16,168.46 and 6,410.80

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Solution

The fourth proportional to 11,715.99, 16,168.46 and 6,410.80 is: 8,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.99 : 16,168.46 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    11,715.99/16,168.46 = 6,410.80/x
  3. Step 3: Cross multiply
    11,715.99x = 16,168.46 × 6,410.80
  4. Step 4: Simplify right side
    11,715.99x = 103,652,763.37
  5. Step 5: Solve for x
    x = 103,652,763.37/11,715.99
  6. Step 6: Final answer
    x = 8,847.12

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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.