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Finding the Fourth Proportional to 10,538.56, 15,808.70 and 6,156.48

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Solution

The fourth proportional to 10,538.56, 15,808.70 and 6,156.48 is: 9,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.56 : 15,808.70 = 6,156.48 : x
  2. Step 2: Convert to fraction form
    10,538.56/15,808.70 = 6,156.48/x
  3. Step 3: Cross multiply
    10,538.56x = 15,808.70 × 6,156.48
  4. Step 4: Simplify right side
    10,538.56x = 97,325,945.38
  5. Step 5: Solve for x
    x = 97,325,945.38/10,538.56
  6. Step 6: Final answer
    x = 9,235.22

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