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Finding the Fourth Proportional to 6,905.84, 10,358.58 and 2,288.84

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Solution

The fourth proportional to 6,905.84, 10,358.58 and 2,288.84 is: 3,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.84 : 10,358.58 = 2,288.84 : x
  2. Step 2: Convert to fraction form
    6,905.84/10,358.58 = 2,288.84/x
  3. Step 3: Cross multiply
    6,905.84x = 10,358.58 × 2,288.84
  4. Step 4: Simplify right side
    6,905.84x = 23,709,132.25
  5. Step 5: Solve for x
    x = 23,709,132.25/6,905.84
  6. Step 6: Final answer
    x = 3,433.20

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