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Finding the Fourth Proportional to 10,256.75, 15,385.11 and 2,465.56

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Solution

The fourth proportional to 10,256.75, 15,385.11 and 2,465.56 is: 3,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.75 : 15,385.11 = 2,465.56 : x
  2. Step 2: Convert to fraction form
    10,256.75/15,385.11 = 2,465.56/x
  3. Step 3: Cross multiply
    10,256.75x = 15,385.11 × 2,465.56
  4. Step 4: Simplify right side
    10,256.75x = 37,932,834.89
  5. Step 5: Solve for x
    x = 37,932,834.89/10,256.75
  6. Step 6: Final answer
    x = 3,698.33

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