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Finding the Fourth Proportional to 31,160.30, 46,740.51 and 7,786.74

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Solution

The fourth proportional to 31,160.30, 46,740.51 and 7,786.74 is: 11,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.30 : 46,740.51 = 7,786.74 : x
  2. Step 2: Convert to fraction form
    31,160.30/46,740.51 = 7,786.74/x
  3. Step 3: Cross multiply
    31,160.30x = 46,740.51 × 7,786.74
  4. Step 4: Simplify right side
    31,160.30x = 363,956,198.84
  5. Step 5: Solve for x
    x = 363,956,198.84/31,160.30
  6. Step 6: Final answer
    x = 11,680.12

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