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Finding the Fourth Proportional to 10,202.64, 15,303.96 and 5,269.74

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Solution

The fourth proportional to 10,202.64, 15,303.96 and 5,269.74 is: 7,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.64 : 15,303.96 = 5,269.74 : x
  2. Step 2: Convert to fraction form
    10,202.64/15,303.96 = 5,269.74/x
  3. Step 3: Cross multiply
    10,202.64x = 15,303.96 × 5,269.74
  4. Step 4: Simplify right side
    10,202.64x = 80,647,890.17
  5. Step 5: Solve for x
    x = 80,647,890.17/10,202.64
  6. Step 6: Final answer
    x = 7,904.61

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