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Finding the Fourth Proportional to 10,605.75, 15,908.66 and 3,585.82

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Solution

The fourth proportional to 10,605.75, 15,908.66 and 3,585.82 is: 5,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.75 : 15,908.66 = 3,585.82 : x
  2. Step 2: Convert to fraction form
    10,605.75/15,908.66 = 3,585.82/x
  3. Step 3: Cross multiply
    10,605.75x = 15,908.66 × 3,585.82
  4. Step 4: Simplify right side
    10,605.75x = 57,045,591.20
  5. Step 5: Solve for x
    x = 57,045,591.20/10,605.75
  6. Step 6: Final answer
    x = 5,378.74

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