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Finding the Fourth Proportional to 10,450.56, 15,678.48 and 3,878.64

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Solution

The fourth proportional to 10,450.56, 15,678.48 and 3,878.64 is: 5,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.56 : 15,678.48 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    10,450.56/15,678.48 = 3,878.64/x
  3. Step 3: Cross multiply
    10,450.56x = 15,678.48 × 3,878.64
  4. Step 4: Simplify right side
    10,450.56x = 60,811,179.67
  5. Step 5: Solve for x
    x = 60,811,179.67/10,450.56
  6. Step 6: Final answer
    x = 5,818.94

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