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Finding the Fourth Proportional to 10,853.46, 14,978.08 and 6,137.64

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Solution

The fourth proportional to 10,853.46, 14,978.08 and 6,137.64 is: 8,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.46 : 14,978.08 = 6,137.64 : x
  2. Step 2: Convert to fraction form
    10,853.46/14,978.08 = 6,137.64/x
  3. Step 3: Cross multiply
    10,853.46x = 14,978.08 × 6,137.64
  4. Step 4: Simplify right side
    10,853.46x = 91,930,062.93
  5. Step 5: Solve for x
    x = 91,930,062.93/10,853.46
  6. Step 6: Final answer
    x = 8,470.12

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