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Finding the Fourth Proportional to 11,731.38, 16,194.38 and 7,014.75

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Solution

The fourth proportional to 11,731.38, 16,194.38 and 7,014.75 is: 9,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.38 : 16,194.38 = 7,014.75 : x
  2. Step 2: Convert to fraction form
    11,731.38/16,194.38 = 7,014.75/x
  3. Step 3: Cross multiply
    11,731.38x = 16,194.38 × 7,014.75
  4. Step 4: Simplify right side
    11,731.38x = 113,599,492.03
  5. Step 5: Solve for x
    x = 113,599,492.03/11,731.38
  6. Step 6: Final answer
    x = 9,683.39

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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.