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Finding the Fourth Proportional to 10,219.74, 15,332.70 and 3,646.44

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Solution

The fourth proportional to 10,219.74, 15,332.70 and 3,646.44 is: 5,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.74 : 15,332.70 = 3,646.44 : x
  2. Step 2: Convert to fraction form
    10,219.74/15,332.70 = 3,646.44/x
  3. Step 3: Cross multiply
    10,219.74x = 15,332.70 × 3,646.44
  4. Step 4: Simplify right side
    10,219.74x = 55,909,770.59
  5. Step 5: Solve for x
    x = 55,909,770.59/10,219.74
  6. Step 6: Final answer
    x = 5,470.76

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