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Finding the Fourth Proportional to 10,420.41, 15,631.83 and 4,182.60

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Solution

The fourth proportional to 10,420.41, 15,631.83 and 4,182.60 is: 6,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.41 : 15,631.83 = 4,182.60 : x
  2. Step 2: Convert to fraction form
    10,420.41/15,631.83 = 4,182.60/x
  3. Step 3: Cross multiply
    10,420.41x = 15,631.83 × 4,182.60
  4. Step 4: Simplify right side
    10,420.41x = 65,381,692.16
  5. Step 5: Solve for x
    x = 65,381,692.16/10,420.41
  6. Step 6: Final answer
    x = 6,274.39

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