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Finding the Fourth Proportional to 11,930.76, 16,464.42 and 6,625.56

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Solution

The fourth proportional to 11,930.76, 16,464.42 and 6,625.56 is: 9,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.76 : 16,464.42 = 6,625.56 : x
  2. Step 2: Convert to fraction form
    11,930.76/16,464.42 = 6,625.56/x
  3. Step 3: Cross multiply
    11,930.76x = 16,464.42 × 6,625.56
  4. Step 4: Simplify right side
    11,930.76x = 109,086,002.58
  5. Step 5: Solve for x
    x = 109,086,002.58/11,930.76
  6. Step 6: Final answer
    x = 9,143.26

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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.