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Finding the Fourth Proportional to 10,865.80, 16,298.70 and 6,977.80

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Solution

The fourth proportional to 10,865.80, 16,298.70 and 6,977.80 is: 10,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.80 : 16,298.70 = 6,977.80 : x
  2. Step 2: Convert to fraction form
    10,865.80/16,298.70 = 6,977.80/x
  3. Step 3: Cross multiply
    10,865.80x = 16,298.70 × 6,977.80
  4. Step 4: Simplify right side
    10,865.80x = 113,729,068.86
  5. Step 5: Solve for x
    x = 113,729,068.86/10,865.80
  6. Step 6: Final answer
    x = 10,466.70

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