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Finding the Fourth Proportional to 7,838.85, 10,822.68 and 4,857.84

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Solution

The fourth proportional to 7,838.85, 10,822.68 and 4,857.84 is: 6,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.85 : 10,822.68 = 4,857.84 : x
  2. Step 2: Convert to fraction form
    7,838.85/10,822.68 = 4,857.84/x
  3. Step 3: Cross multiply
    7,838.85x = 10,822.68 × 4,857.84
  4. Step 4: Simplify right side
    7,838.85x = 52,574,870.18
  5. Step 5: Solve for x
    x = 52,574,870.18/7,838.85
  6. Step 6: Final answer
    x = 6,706.97

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