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Finding the Fourth Proportional to 7,784.00, 10,742.16 and 4,426.60

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Solution

The fourth proportional to 7,784.00, 10,742.16 and 4,426.60 is: 6,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.00 : 10,742.16 = 4,426.60 : x
  2. Step 2: Convert to fraction form
    7,784.00/10,742.16 = 4,426.60/x
  3. Step 3: Cross multiply
    7,784.00x = 10,742.16 × 4,426.60
  4. Step 4: Simplify right side
    7,784.00x = 47,551,218.60
  5. Step 5: Solve for x
    x = 47,551,218.60/7,784.00
  6. Step 6: Final answer
    x = 6,108.84

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