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Finding the Fourth Proportional to 10,090.70, 15,138.48 and 3,165.20

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Solution

The fourth proportional to 10,090.70, 15,138.48 and 3,165.20 is: 4,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.70 : 15,138.48 = 3,165.20 : x
  2. Step 2: Convert to fraction form
    10,090.70/15,138.48 = 3,165.20/x
  3. Step 3: Cross multiply
    10,090.70x = 15,138.48 × 3,165.20
  4. Step 4: Simplify right side
    10,090.70x = 47,916,316.90
  5. Step 5: Solve for x
    x = 47,916,316.90/10,090.70
  6. Step 6: Final answer
    x = 4,748.56

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