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Finding the Fourth Proportional to 10,582.58, 15,876.14 and 3,186.42

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Solution

The fourth proportional to 10,582.58, 15,876.14 and 3,186.42 is: 4,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.58 : 15,876.14 = 3,186.42 : x
  2. Step 2: Convert to fraction form
    10,582.58/15,876.14 = 3,186.42/x
  3. Step 3: Cross multiply
    10,582.58x = 15,876.14 × 3,186.42
  4. Step 4: Simplify right side
    10,582.58x = 50,588,034.09
  5. Step 5: Solve for x
    x = 50,588,034.09/10,582.58
  6. Step 6: Final answer
    x = 4,780.31

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