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Finding the Fourth Proportional to 10,102.85, 13,948.16 and 6,520.96

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Solution

The fourth proportional to 10,102.85, 13,948.16 and 6,520.96 is: 9,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.85 : 13,948.16 = 6,520.96 : x
  2. Step 2: Convert to fraction form
    10,102.85/13,948.16 = 6,520.96/x
  3. Step 3: Cross multiply
    10,102.85x = 13,948.16 × 6,520.96
  4. Step 4: Simplify right side
    10,102.85x = 90,955,393.43
  5. Step 5: Solve for x
    x = 90,955,393.43/10,102.85
  6. Step 6: Final answer
    x = 9,002.94

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