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Finding the Fourth Proportional to 10,401.40, 15,602.10 and 3,827.80

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Solution

The fourth proportional to 10,401.40, 15,602.10 and 3,827.80 is: 5,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.40 : 15,602.10 = 3,827.80 : x
  2. Step 2: Convert to fraction form
    10,401.40/15,602.10 = 3,827.80/x
  3. Step 3: Cross multiply
    10,401.40x = 15,602.10 × 3,827.80
  4. Step 4: Simplify right side
    10,401.40x = 59,721,718.38
  5. Step 5: Solve for x
    x = 59,721,718.38/10,401.40
  6. Step 6: Final answer
    x = 5,741.70

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