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Finding the Fourth Proportional to 10,905.16, 16,337.10 and 6,449.48

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Solution

The fourth proportional to 10,905.16, 16,337.10 and 6,449.48 is: 9,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.16 : 16,337.10 = 6,449.48 : x
  2. Step 2: Convert to fraction form
    10,905.16/16,337.10 = 6,449.48/x
  3. Step 3: Cross multiply
    10,905.16x = 16,337.10 × 6,449.48
  4. Step 4: Simplify right side
    10,905.16x = 105,365,799.71
  5. Step 5: Solve for x
    x = 105,365,799.71/10,905.16
  6. Step 6: Final answer
    x = 9,662.01

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