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Finding the Fourth Proportional to 7,823.58, 11,728.95 and 3,661.56

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Solution

The fourth proportional to 7,823.58, 11,728.95 and 3,661.56 is: 5,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.58 : 11,728.95 = 3,661.56 : x
  2. Step 2: Convert to fraction form
    7,823.58/11,728.95 = 3,661.56/x
  3. Step 3: Cross multiply
    7,823.58x = 11,728.95 × 3,661.56
  4. Step 4: Simplify right side
    7,823.58x = 42,946,254.16
  5. Step 5: Solve for x
    x = 42,946,254.16/7,823.58
  6. Step 6: Final answer
    x = 5,489.34

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