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Finding the Fourth Proportional to 11,556.78, 15,955.20 and 7,584.84

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Solution

The fourth proportional to 11,556.78, 15,955.20 and 7,584.84 is: 10,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.78 : 15,955.20 = 7,584.84 : x
  2. Step 2: Convert to fraction form
    11,556.78/15,955.20 = 7,584.84/x
  3. Step 3: Cross multiply
    11,556.78x = 15,955.20 × 7,584.84
  4. Step 4: Simplify right side
    11,556.78x = 121,017,639.17
  5. Step 5: Solve for x
    x = 121,017,639.17/11,556.78
  6. Step 6: Final answer
    x = 10,471.57

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