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Finding the Fourth Proportional to 11,930.40, 16,466.13 and 6,893.94

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Solution

The fourth proportional to 11,930.40, 16,466.13 and 6,893.94 is: 9,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.40 : 16,466.13 = 6,893.94 : x
  2. Step 2: Convert to fraction form
    11,930.40/16,466.13 = 6,893.94/x
  3. Step 3: Cross multiply
    11,930.40x = 16,466.13 × 6,893.94
  4. Step 4: Simplify right side
    11,930.40x = 113,516,512.25
  5. Step 5: Solve for x
    x = 113,516,512.25/11,930.40
  6. Step 6: Final answer
    x = 9,514.90

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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.