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Finding the Fourth Proportional to 10,405.25, 15,609.43 and 3,830.93

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Solution

The fourth proportional to 10,405.25, 15,609.43 and 3,830.93 is: 5,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.25 : 15,609.43 = 3,830.93 : x
  2. Step 2: Convert to fraction form
    10,405.25/15,609.43 = 3,830.93/x
  3. Step 3: Cross multiply
    10,405.25x = 15,609.43 × 3,830.93
  4. Step 4: Simplify right side
    10,405.25x = 59,798,633.67
  5. Step 5: Solve for x
    x = 59,798,633.67/10,405.25
  6. Step 6: Final answer
    x = 5,746.97

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