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Finding the Fourth Proportional to 6,407.64, 9,605.97 and 2,511.15

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Solution

The fourth proportional to 6,407.64, 9,605.97 and 2,511.15 is: 3,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.64 : 9,605.97 = 2,511.15 : x
  2. Step 2: Convert to fraction form
    6,407.64/9,605.97 = 2,511.15/x
  3. Step 3: Cross multiply
    6,407.64x = 9,605.97 × 2,511.15
  4. Step 4: Simplify right side
    6,407.64x = 24,122,031.57
  5. Step 5: Solve for x
    x = 24,122,031.57/6,407.64
  6. Step 6: Final answer
    x = 3,764.57

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