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Finding the Fourth Proportional to 7,804.35, 11,706.86 and 2,258.25

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Solution

The fourth proportional to 7,804.35, 11,706.86 and 2,258.25 is: 3,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.35 : 11,706.86 = 2,258.25 : x
  2. Step 2: Convert to fraction form
    7,804.35/11,706.86 = 2,258.25/x
  3. Step 3: Cross multiply
    7,804.35x = 11,706.86 × 2,258.25
  4. Step 4: Simplify right side
    7,804.35x = 26,437,016.60
  5. Step 5: Solve for x
    x = 26,437,016.60/7,804.35
  6. Step 6: Final answer
    x = 3,387.47

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