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Finding the Fourth Proportional to 10,616, 15,930.84 and 4,460

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Solution

The fourth proportional to 10,616, 15,930.84 and 4,460 is: 6,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616 : 15,930.84 = 4,460 : x
  2. Step 2: Convert to fraction form
    10,616/15,930.84 = 4,460/x
  3. Step 3: Cross multiply
    10,616x = 15,930.84 × 4,460
  4. Step 4: Simplify right side
    10,616x = 71,051,546.40
  5. Step 5: Solve for x
    x = 71,051,546.40/10,616
  6. Step 6: Final answer
    x = 6,692.87

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