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Finding the Fourth Proportional to 10,415.85, 15,619.58 and 3,840.58

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Solution

The fourth proportional to 10,415.85, 15,619.58 and 3,840.58 is: 5,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.85 : 15,619.58 = 3,840.58 : x
  2. Step 2: Convert to fraction form
    10,415.85/15,619.58 = 3,840.58/x
  3. Step 3: Cross multiply
    10,415.85x = 15,619.58 × 3,840.58
  4. Step 4: Simplify right side
    10,415.85x = 59,988,149.26
  5. Step 5: Solve for x
    x = 59,988,149.26/10,415.85
  6. Step 6: Final answer
    x = 5,759.31

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