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Finding the Fourth Proportional to 10,605.21, 15,907.80 and 3,585.24

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Solution

The fourth proportional to 10,605.21, 15,907.80 and 3,585.24 is: 5,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.21 : 15,907.80 = 3,585.24 : x
  2. Step 2: Convert to fraction form
    10,605.21/15,907.80 = 3,585.24/x
  3. Step 3: Cross multiply
    10,605.21x = 15,907.80 × 3,585.24
  4. Step 4: Simplify right side
    10,605.21x = 57,033,280.87
  5. Step 5: Solve for x
    x = 57,033,280.87/10,605.21
  6. Step 6: Final answer
    x = 5,377.85

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