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Finding the Fourth Proportional to 10,209.84, 15,316.92 and 3,638.04

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Solution

The fourth proportional to 10,209.84, 15,316.92 and 3,638.04 is: 5,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.84 : 15,316.92 = 3,638.04 : x
  2. Step 2: Convert to fraction form
    10,209.84/15,316.92 = 3,638.04/x
  3. Step 3: Cross multiply
    10,209.84x = 15,316.92 × 3,638.04
  4. Step 4: Simplify right side
    10,209.84x = 55,723,567.64
  5. Step 5: Solve for x
    x = 55,723,567.64/10,209.84
  6. Step 6: Final answer
    x = 5,457.83

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