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Finding the Fourth Proportional to 7,782.84, 10,741.68 and 6,276.24

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Solution

The fourth proportional to 7,782.84, 10,741.68 and 6,276.24 is: 8,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.84 : 10,741.68 = 6,276.24 : x
  2. Step 2: Convert to fraction form
    7,782.84/10,741.68 = 6,276.24/x
  3. Step 3: Cross multiply
    7,782.84x = 10,741.68 × 6,276.24
  4. Step 4: Simplify right side
    7,782.84x = 67,417,361.68
  5. Step 5: Solve for x
    x = 67,417,361.68/7,782.84
  6. Step 6: Final answer
    x = 8,662.31

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