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Finding the Fourth Proportional to 10,823.80, 16,235.70 and 7,130.20

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Solution

The fourth proportional to 10,823.80, 16,235.70 and 7,130.20 is: 10,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.80 : 16,235.70 = 7,130.20 : x
  2. Step 2: Convert to fraction form
    10,823.80/16,235.70 = 7,130.20/x
  3. Step 3: Cross multiply
    10,823.80x = 16,235.70 × 7,130.20
  4. Step 4: Simplify right side
    10,823.80x = 115,763,788.14
  5. Step 5: Solve for x
    x = 115,763,788.14/10,823.80
  6. Step 6: Final answer
    x = 10,695.30

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