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Finding the Fourth Proportional to 6,541.16, 9,811.65 and 1,610.84

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Solution

The fourth proportional to 6,541.16, 9,811.65 and 1,610.84 is: 2,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.16 : 9,811.65 = 1,610.84 : x
  2. Step 2: Convert to fraction form
    6,541.16/9,811.65 = 1,610.84/x
  3. Step 3: Cross multiply
    6,541.16x = 9,811.65 × 1,610.84
  4. Step 4: Simplify right side
    6,541.16x = 15,804,949.23
  5. Step 5: Solve for x
    x = 15,804,949.23/6,541.16
  6. Step 6: Final answer
    x = 2,416.23

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