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Finding the Fourth Proportional to 11,930.74, 16,464.72 and 6,625.42

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Solution

The fourth proportional to 11,930.74, 16,464.72 and 6,625.42 is: 9,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.74 : 16,464.72 = 6,625.42 : x
  2. Step 2: Convert to fraction form
    11,930.74/16,464.72 = 6,625.42/x
  3. Step 3: Cross multiply
    11,930.74x = 16,464.72 × 6,625.42
  4. Step 4: Simplify right side
    11,930.74x = 109,085,685.18
  5. Step 5: Solve for x
    x = 109,085,685.18/11,930.74
  6. Step 6: Final answer
    x = 9,143.25

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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.