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Finding the Fourth Proportional to 11,716.38, 16,173.30 and 6,999.78

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Solution

The fourth proportional to 11,716.38, 16,173.30 and 6,999.78 is: 9,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.38 : 16,173.30 = 6,999.78 : x
  2. Step 2: Convert to fraction form
    11,716.38/16,173.30 = 6,999.78/x
  3. Step 3: Cross multiply
    11,716.38x = 16,173.30 × 6,999.78
  4. Step 4: Simplify right side
    11,716.38x = 113,209,541.87
  5. Step 5: Solve for x
    x = 113,209,541.87/11,716.38
  6. Step 6: Final answer
    x = 9,662.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.