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Finding the Fourth Proportional to 7,784.10, 11,676.42 and 2,854.98

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Solution

The fourth proportional to 7,784.10, 11,676.42 and 2,854.98 is: 4,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.10 : 11,676.42 = 2,854.98 : x
  2. Step 2: Convert to fraction form
    7,784.10/11,676.42 = 2,854.98/x
  3. Step 3: Cross multiply
    7,784.10x = 11,676.42 × 2,854.98
  4. Step 4: Simplify right side
    7,784.10x = 33,335,945.57
  5. Step 5: Solve for x
    x = 33,335,945.57/7,784.10
  6. Step 6: Final answer
    x = 4,282.57

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