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Finding the Fourth Proportional to 7,812.64, 11,723.68 and 4,117.60

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Solution

The fourth proportional to 7,812.64, 11,723.68 and 4,117.60 is: 6,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.64 : 11,723.68 = 4,117.60 : x
  2. Step 2: Convert to fraction form
    7,812.64/11,723.68 = 4,117.60/x
  3. Step 3: Cross multiply
    7,812.64x = 11,723.68 × 4,117.60
  4. Step 4: Simplify right side
    7,812.64x = 48,273,424.77
  5. Step 5: Solve for x
    x = 48,273,424.77/7,812.64
  6. Step 6: Final answer
    x = 6,178.89

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