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Finding the Fourth Proportional to 10,822.16, 16,210.51 and 6,871.40

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Solution

The fourth proportional to 10,822.16, 16,210.51 and 6,871.40 is: 10,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.16 : 16,210.51 = 6,871.40 : x
  2. Step 2: Convert to fraction form
    10,822.16/16,210.51 = 6,871.40/x
  3. Step 3: Cross multiply
    10,822.16x = 16,210.51 × 6,871.40
  4. Step 4: Simplify right side
    10,822.16x = 111,388,899.62
  5. Step 5: Solve for x
    x = 111,388,899.62/10,822.16
  6. Step 6: Final answer
    x = 10,292.67

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