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Finding the Fourth Proportional to 10,099.70, 15,137.40 and 5,166.80

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Solution

The fourth proportional to 10,099.70, 15,137.40 and 5,166.80 is: 7,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.70 : 15,137.40 = 5,166.80 : x
  2. Step 2: Convert to fraction form
    10,099.70/15,137.40 = 5,166.80/x
  3. Step 3: Cross multiply
    10,099.70x = 15,137.40 × 5,166.80
  4. Step 4: Simplify right side
    10,099.70x = 78,211,918.32
  5. Step 5: Solve for x
    x = 78,211,918.32/10,099.70
  6. Step 6: Final answer
    x = 7,743.98

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