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Finding the Fourth Proportional to 10,420.63, 15,631.04 and 4,096.15

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Solution

The fourth proportional to 10,420.63, 15,631.04 and 4,096.15 is: 6,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.63 : 15,631.04 = 4,096.15 : x
  2. Step 2: Convert to fraction form
    10,420.63/15,631.04 = 4,096.15/x
  3. Step 3: Cross multiply
    10,420.63x = 15,631.04 × 4,096.15
  4. Step 4: Simplify right side
    10,420.63x = 64,027,055.66
  5. Step 5: Solve for x
    x = 64,027,055.66/10,420.63
  6. Step 6: Final answer
    x = 6,144.26

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