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Finding the Fourth Proportional to 10,611.30, 15,978.61 and 7,857.48

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Solution

The fourth proportional to 10,611.30, 15,978.61 and 7,857.48 is: 11,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.30 : 15,978.61 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    10,611.30/15,978.61 = 7,857.48/x
  3. Step 3: Cross multiply
    10,611.30x = 15,978.61 × 7,857.48
  4. Step 4: Simplify right side
    10,611.30x = 125,551,588.86
  5. Step 5: Solve for x
    x = 125,551,588.86/10,611.30
  6. Step 6: Final answer
    x = 11,831.88

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