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Finding the Fourth Proportional to 11,930.29, 16,464.16 and 6,625.90

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Solution

The fourth proportional to 11,930.29, 16,464.16 and 6,625.90 is: 9,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.29 : 16,464.16 = 6,625.90 : x
  2. Step 2: Convert to fraction form
    11,930.29/16,464.16 = 6,625.90/x
  3. Step 3: Cross multiply
    11,930.29x = 16,464.16 × 6,625.90
  4. Step 4: Simplify right side
    11,930.29x = 109,089,906.61
  5. Step 5: Solve for x
    x = 109,089,906.61/11,930.29
  6. Step 6: Final answer
    x = 9,143.95

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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.