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Finding the Fourth Proportional to 11,640.97, 17,461.59 and 6,457.78

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Solution

The fourth proportional to 11,640.97, 17,461.59 and 6,457.78 is: 9,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.97 : 17,461.59 = 6,457.78 : x
  2. Step 2: Convert to fraction form
    11,640.97/17,461.59 = 6,457.78/x
  3. Step 3: Cross multiply
    11,640.97x = 17,461.59 × 6,457.78
  4. Step 4: Simplify right side
    11,640.97x = 112,763,106.67
  5. Step 5: Solve for x
    x = 112,763,106.67/11,640.97
  6. Step 6: Final answer
    x = 9,686.74

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