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Finding the Fourth Proportional to 10,978.86, 16,470.48 and 3,583.28

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Solution

The fourth proportional to 10,978.86, 16,470.48 and 3,583.28 is: 5,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.86 : 16,470.48 = 3,583.28 : x
  2. Step 2: Convert to fraction form
    10,978.86/16,470.48 = 3,583.28/x
  3. Step 3: Cross multiply
    10,978.86x = 16,470.48 × 3,583.28
  4. Step 4: Simplify right side
    10,978.86x = 59,018,341.57
  5. Step 5: Solve for x
    x = 59,018,341.57/10,978.86
  6. Step 6: Final answer
    x = 5,375.63

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