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Finding the Fourth Proportional to 10,978.08, 15,142.88 and 7,201.44

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Solution

The fourth proportional to 10,978.08, 15,142.88 and 7,201.44 is: 9,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.08 : 15,142.88 = 7,201.44 : x
  2. Step 2: Convert to fraction form
    10,978.08/15,142.88 = 7,201.44/x
  3. Step 3: Cross multiply
    10,978.08x = 15,142.88 × 7,201.44
  4. Step 4: Simplify right side
    10,978.08x = 109,050,541.75
  5. Step 5: Solve for x
    x = 109,050,541.75/10,978.08
  6. Step 6: Final answer
    x = 9,933.48

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