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Finding the Fourth Proportional to 10,706.99, 16,062.87 and 5,164.98

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Solution

The fourth proportional to 10,706.99, 16,062.87 and 5,164.98 is: 7,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.99 : 16,062.87 = 5,164.98 : x
  2. Step 2: Convert to fraction form
    10,706.99/16,062.87 = 5,164.98/x
  3. Step 3: Cross multiply
    10,706.99x = 16,062.87 × 5,164.98
  4. Step 4: Simplify right side
    10,706.99x = 82,964,402.29
  5. Step 5: Solve for x
    x = 82,964,402.29/10,706.99
  6. Step 6: Final answer
    x = 7,748.62

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