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Finding the Fourth Proportional to 7,787.75, 11,684.36 and 4,862.64

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Solution

The fourth proportional to 7,787.75, 11,684.36 and 4,862.64 is: 7,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.75 : 11,684.36 = 4,862.64 : x
  2. Step 2: Convert to fraction form
    7,787.75/11,684.36 = 4,862.64/x
  3. Step 3: Cross multiply
    7,787.75x = 11,684.36 × 4,862.64
  4. Step 4: Simplify right side
    7,787.75x = 56,816,848.47
  5. Step 5: Solve for x
    x = 56,816,848.47/7,787.75
  6. Step 6: Final answer
    x = 7,295.67

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