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Finding the Fourth Proportional to 11,930.43, 16,466.41 and 6,894.86

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Solution

The fourth proportional to 11,930.43, 16,466.41 and 6,894.86 is: 9,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.43 : 16,466.41 = 6,894.86 : x
  2. Step 2: Convert to fraction form
    11,930.43/16,466.41 = 6,894.86/x
  3. Step 3: Cross multiply
    11,930.43x = 16,466.41 × 6,894.86
  4. Step 4: Simplify right side
    11,930.43x = 113,533,641.44
  5. Step 5: Solve for x
    x = 113,533,641.44/11,930.43
  6. Step 6: Final answer
    x = 9,516.31

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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.