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Finding the Fourth Proportional to 10,460.41, 15,678.43 and 3,882.40

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Solution

The fourth proportional to 10,460.41, 15,678.43 and 3,882.40 is: 5,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.41 : 15,678.43 = 3,882.40 : x
  2. Step 2: Convert to fraction form
    10,460.41/15,678.43 = 3,882.40/x
  3. Step 3: Cross multiply
    10,460.41x = 15,678.43 × 3,882.40
  4. Step 4: Simplify right side
    10,460.41x = 60,869,887.73
  5. Step 5: Solve for x
    x = 60,869,887.73/10,460.41
  6. Step 6: Final answer
    x = 5,819.07

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