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Finding the Fourth Proportional to 10,853.76, 14,977.95 and 6,138.03

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Solution

The fourth proportional to 10,853.76, 14,977.95 and 6,138.03 is: 8,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.76 : 14,977.95 = 6,138.03 : x
  2. Step 2: Convert to fraction form
    10,853.76/14,977.95 = 6,138.03/x
  3. Step 3: Cross multiply
    10,853.76x = 14,977.95 × 6,138.03
  4. Step 4: Simplify right side
    10,853.76x = 91,935,106.44
  5. Step 5: Solve for x
    x = 91,935,106.44/10,853.76
  6. Step 6: Final answer
    x = 8,470.35

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