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Finding the Fourth Proportional to 11,930.94, 16,464.99 and 6,625.50

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Solution

The fourth proportional to 11,930.94, 16,464.99 and 6,625.50 is: 9,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.94 : 16,464.99 = 6,625.50 : x
  2. Step 2: Convert to fraction form
    11,930.94/16,464.99 = 6,625.50/x
  3. Step 3: Cross multiply
    11,930.94x = 16,464.99 × 6,625.50
  4. Step 4: Simplify right side
    11,930.94x = 109,088,791.25
  5. Step 5: Solve for x
    x = 109,088,791.25/11,930.94
  6. Step 6: Final answer
    x = 9,143.35

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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.