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Finding the Fourth Proportional to 7,849.68, 11,774.64 and 2,006.16

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Solution

The fourth proportional to 7,849.68, 11,774.64 and 2,006.16 is: 3,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.68 : 11,774.64 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    7,849.68/11,774.64 = 2,006.16/x
  3. Step 3: Cross multiply
    7,849.68x = 11,774.64 × 2,006.16
  4. Step 4: Simplify right side
    7,849.68x = 23,621,811.78
  5. Step 5: Solve for x
    x = 23,621,811.78/7,849.68
  6. Step 6: Final answer
    x = 3,009.27

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