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Finding the Fourth Proportional to 10,402.82, 15,605.75 and 3,828.46

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Solution

The fourth proportional to 10,402.82, 15,605.75 and 3,828.46 is: 5,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.82 : 15,605.75 = 3,828.46 : x
  2. Step 2: Convert to fraction form
    10,402.82/15,605.75 = 3,828.46/x
  3. Step 3: Cross multiply
    10,402.82x = 15,605.75 × 3,828.46
  4. Step 4: Simplify right side
    10,402.82x = 59,745,931.49
  5. Step 5: Solve for x
    x = 59,745,931.49/10,402.82
  6. Step 6: Final answer
    x = 5,743.24

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