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Finding the Fourth Proportional to 10,582.58, 14,596.97 and 6,799.78

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Solution

The fourth proportional to 10,582.58, 14,596.97 and 6,799.78 is: 9,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.58 : 14,596.97 = 6,799.78 : x
  2. Step 2: Convert to fraction form
    10,582.58/14,596.97 = 6,799.78/x
  3. Step 3: Cross multiply
    10,582.58x = 14,596.97 × 6,799.78
  4. Step 4: Simplify right side
    10,582.58x = 99,256,165.17
  5. Step 5: Solve for x
    x = 99,256,165.17/10,582.58
  6. Step 6: Final answer
    x = 9,379.20

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