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Finding the Fourth Proportional to 4,628.81, 6,943.25 and 1,166.06

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Solution

The fourth proportional to 4,628.81, 6,943.25 and 1,166.06 is: 1,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.81 : 6,943.25 = 1,166.06 : x
  2. Step 2: Convert to fraction form
    4,628.81/6,943.25 = 1,166.06/x
  3. Step 3: Cross multiply
    4,628.81x = 6,943.25 × 1,166.06
  4. Step 4: Simplify right side
    4,628.81x = 8,096,266.37
  5. Step 5: Solve for x
    x = 8,096,266.37/4,628.81
  6. Step 6: Final answer
    x = 1,749.10

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