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Finding the Fourth Proportional to 10,506.80, 15,745.34 and 5,828.88

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Solution

The fourth proportional to 10,506.80, 15,745.34 and 5,828.88 is: 8,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.80 : 15,745.34 = 5,828.88 : x
  2. Step 2: Convert to fraction form
    10,506.80/15,745.34 = 5,828.88/x
  3. Step 3: Cross multiply
    10,506.80x = 15,745.34 × 5,828.88
  4. Step 4: Simplify right side
    10,506.80x = 91,777,697.42
  5. Step 5: Solve for x
    x = 91,777,697.42/10,506.80
  6. Step 6: Final answer
    x = 8,735.08

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