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Finding the Fourth Proportional to 7,832.76, 11,749.10 and 1,909.58

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Solution

The fourth proportional to 7,832.76, 11,749.10 and 1,909.58 is: 2,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.76 : 11,749.10 = 1,909.58 : x
  2. Step 2: Convert to fraction form
    7,832.76/11,749.10 = 1,909.58/x
  3. Step 3: Cross multiply
    7,832.76x = 11,749.10 × 1,909.58
  4. Step 4: Simplify right side
    7,832.76x = 22,435,792.41
  5. Step 5: Solve for x
    x = 22,435,792.41/7,832.76
  6. Step 6: Final answer
    x = 2,864.35

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