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Finding the Fourth Proportional to 12,109.78, 16,700.40 and 7,856.44

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Solution

The fourth proportional to 12,109.78, 16,700.40 and 7,856.44 is: 10,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.78 : 16,700.40 = 7,856.44 : x
  2. Step 2: Convert to fraction form
    12,109.78/16,700.40 = 7,856.44/x
  3. Step 3: Cross multiply
    12,109.78x = 16,700.40 × 7,856.44
  4. Step 4: Simplify right side
    12,109.78x = 131,205,690.58
  5. Step 5: Solve for x
    x = 131,205,690.58/12,109.78
  6. Step 6: Final answer
    x = 10,834.69

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