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Finding the Fourth Proportional to 31,138.83, 46,709.87 and 7,765.47

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Solution

The fourth proportional to 31,138.83, 46,709.87 and 7,765.47 is: 11,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.83 : 46,709.87 = 7,765.47 : x
  2. Step 2: Convert to fraction form
    31,138.83/46,709.87 = 7,765.47/x
  3. Step 3: Cross multiply
    31,138.83x = 46,709.87 × 7,765.47
  4. Step 4: Simplify right side
    31,138.83x = 362,724,055.36
  5. Step 5: Solve for x
    x = 362,724,055.36/31,138.83
  6. Step 6: Final answer
    x = 11,648.61

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