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Finding the Fourth Proportional to 31,160.94, 46,738.63 and 7,787.35

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Solution

The fourth proportional to 31,160.94, 46,738.63 and 7,787.35 is: 11,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.94 : 46,738.63 = 7,787.35 : x
  2. Step 2: Convert to fraction form
    31,160.94/46,738.63 = 7,787.35/x
  3. Step 3: Cross multiply
    31,160.94x = 46,738.63 × 7,787.35
  4. Step 4: Simplify right side
    31,160.94x = 363,970,070.33
  5. Step 5: Solve for x
    x = 363,970,070.33/31,160.94
  6. Step 6: Final answer
    x = 11,680.33

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